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Finding the Fourth Proportional to 78,342.68, 108,143.76 and 52,864.13

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Solution

The fourth proportional to 78,342.68, 108,143.76 and 52,864.13 is: 72,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.68 : 108,143.76 = 52,864.13 : x
  2. Step 2: Convert to fraction form
    78,342.68/108,143.76 = 52,864.13/x
  3. Step 3: Cross multiply
    78,342.68x = 108,143.76 × 52,864.13
  4. Step 4: Simplify right side
    78,342.68x = 5,716,925,246.61
  5. Step 5: Solve for x
    x = 5,716,925,246.61/78,342.68
  6. Step 6: Final answer
    x = 72,973.32

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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.