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Finding the Fourth Proportional to 127,155.31, 190,700.84 and 47,149.31

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Solution

The fourth proportional to 127,155.31, 190,700.84 and 47,149.31 is: 70,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,155.31 : 190,700.84 = 47,149.31 : x
  2. Step 2: Convert to fraction form
    127,155.31/190,700.84 = 47,149.31/x
  3. Step 3: Cross multiply
    127,155.31x = 190,700.84 × 47,149.31
  4. Step 4: Simplify right side
    127,155.31x = 8,991,413,022.42
  5. Step 5: Solve for x
    x = 8,991,413,022.42/127,155.31
  6. Step 6: Final answer
    x = 70,712.05

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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.