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Finding the Fourth Proportional to 140,835,385.80, 211,103,978.94 and 47,373,383.16

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Solution

The fourth proportional to 140,835,385.80, 211,103,978.94 and 47,373,383.16 is: 71,009,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,835,385.80 : 211,103,978.94 = 47,373,383.16 : x
  2. Step 2: Convert to fraction form
    140,835,385.80/211,103,978.94 = 47,373,383.16/x
  3. Step 3: Cross multiply
    140,835,385.80x = 211,103,978.94 × 47,373,383.16
  4. Step 4: Simplify right side
    140,835,385.80x = 10,000,709,680,925,190
  5. Step 5: Solve for x
    x = 10,000,709,680,925,190/140,835,385.80
  6. Step 6: Final answer
    x = 71,009,921.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.