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Finding the Fourth Proportional to 72,301.56, 108,449.14 and 19,711.05

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Solution

The fourth proportional to 72,301.56, 108,449.14 and 19,711.05 is: 29,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,301.56 : 108,449.14 = 19,711.05 : x
  2. Step 2: Convert to fraction form
    72,301.56/108,449.14 = 19,711.05/x
  3. Step 3: Cross multiply
    72,301.56x = 108,449.14 × 19,711.05
  4. Step 4: Simplify right side
    72,301.56x = 2,137,646,421.00
  5. Step 5: Solve for x
    x = 2,137,646,421.00/72,301.56
  6. Step 6: Final answer
    x = 29,565.70

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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.