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Finding the Fourth Proportional to 79,412.73, 109,516.42 and 53,957.20

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Solution

The fourth proportional to 79,412.73, 109,516.42 and 53,957.20 is: 74,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,412.73 : 109,516.42 = 53,957.20 : x
  2. Step 2: Convert to fraction form
    79,412.73/109,516.42 = 53,957.20/x
  3. Step 3: Cross multiply
    79,412.73x = 109,516.42 × 53,957.20
  4. Step 4: Simplify right side
    79,412.73x = 5,909,199,377.22
  5. Step 5: Solve for x
    x = 5,909,199,377.22/79,412.73
  6. Step 6: Final answer
    x = 74,411.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.