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Finding the Fourth Proportional to 78,500.71, 108,329.95 and 42,689.95

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Solution

The fourth proportional to 78,500.71, 108,329.95 and 42,689.95 is: 58,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,500.71 : 108,329.95 = 42,689.95 : x
  2. Step 2: Convert to fraction form
    78,500.71/108,329.95 = 42,689.95/x
  3. Step 3: Cross multiply
    78,500.71x = 108,329.95 × 42,689.95
  4. Step 4: Simplify right side
    78,500.71x = 4,624,599,607.35
  5. Step 5: Solve for x
    x = 4,624,599,607.35/78,500.71
  6. Step 6: Final answer
    x = 58,911.57

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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.