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Finding the Fourth Proportional to 78,348.63, 117,569.63 and 28,432.62

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Solution

The fourth proportional to 78,348.63, 117,569.63 and 28,432.62 is: 42,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348.63 : 117,569.63 = 28,432.62 : x
  2. Step 2: Convert to fraction form
    78,348.63/117,569.63 = 28,432.62/x
  3. Step 3: Cross multiply
    78,348.63x = 117,569.63 × 28,432.62
  4. Step 4: Simplify right side
    78,348.63x = 3,342,812,471.17
  5. Step 5: Solve for x
    x = 3,342,812,471.17/78,348.63
  6. Step 6: Final answer
    x = 42,665.87

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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.