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Finding the Fourth Proportional to 78,502.45, 108,332.37 and 42,691.70

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Solution

The fourth proportional to 78,502.45, 108,332.37 and 42,691.70 is: 58,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502.45 : 108,332.37 = 42,691.70 : x
  2. Step 2: Convert to fraction form
    78,502.45/108,332.37 = 42,691.70/x
  3. Step 3: Cross multiply
    78,502.45x = 108,332.37 × 42,691.70
  4. Step 4: Simplify right side
    78,502.45x = 4,624,893,040.33
  5. Step 5: Solve for x
    x = 4,624,893,040.33/78,502.45
  6. Step 6: Final answer
    x = 58,914.00

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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.