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Finding the Fourth Proportional to 120,983.20, 181,474.80 and 47,111.20

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Solution

The fourth proportional to 120,983.20, 181,474.80 and 47,111.20 is: 70,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,983.20 : 181,474.80 = 47,111.20 : x
  2. Step 2: Convert to fraction form
    120,983.20/181,474.80 = 47,111.20/x
  3. Step 3: Cross multiply
    120,983.20x = 181,474.80 × 47,111.20
  4. Step 4: Simplify right side
    120,983.20x = 8,549,495,597.76
  5. Step 5: Solve for x
    x = 8,549,495,597.76/120,983.20
  6. Step 6: Final answer
    x = 70,666.80

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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.