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Finding the Fourth Proportional to 78,275.71, 108,019.87 and 42,465.61

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Solution

The fourth proportional to 78,275.71, 108,019.87 and 42,465.61 is: 58,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,275.71 : 108,019.87 = 42,465.61 : x
  2. Step 2: Convert to fraction form
    78,275.71/108,019.87 = 42,465.61/x
  3. Step 3: Cross multiply
    78,275.71x = 108,019.87 × 42,465.61
  4. Step 4: Simplify right side
    78,275.71x = 4,587,129,671.67
  5. Step 5: Solve for x
    x = 4,587,129,671.67/78,275.71
  6. Step 6: Final answer
    x = 58,602.21

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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.