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Finding the Fourth Proportional to 72,442, 108,673.14 and 68,458

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Solution

The fourth proportional to 72,442, 108,673.14 and 68,458 is: 102,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442 : 108,673.14 = 68,458 : x
  2. Step 2: Convert to fraction form
    72,442/108,673.14 = 68,458/x
  3. Step 3: Cross multiply
    72,442x = 108,673.14 × 68,458
  4. Step 4: Simplify right side
    72,442x = 7,439,545,818.12
  5. Step 5: Solve for x
    x = 7,439,545,818.12/72,442
  6. Step 6: Final answer
    x = 102,696.58

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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.