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Finding the Fourth Proportional to 78,957, 108,960.66 and 45,423

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Solution

The fourth proportional to 78,957, 108,960.66 and 45,423 is: 62,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,957 : 108,960.66 = 45,423 : x
  2. Step 2: Convert to fraction form
    78,957/108,960.66 = 45,423/x
  3. Step 3: Cross multiply
    78,957x = 108,960.66 × 45,423
  4. Step 4: Simplify right side
    78,957x = 4,949,320,059.18
  5. Step 5: Solve for x
    x = 4,949,320,059.18/78,957
  6. Step 6: Final answer
    x = 62,683.74

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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.