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Finding the Fourth Proportional to 125,280, 172,880.64 and 75,006.72

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Solution

The fourth proportional to 125,280, 172,880.64 and 75,006.72 is: 103,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,280 : 172,880.64 = 75,006.72 : x
  2. Step 2: Convert to fraction form
    125,280/172,880.64 = 75,006.72/x
  3. Step 3: Cross multiply
    125,280x = 172,880.64 × 75,006.72
  4. Step 4: Simplify right side
    125,280x = 12,967,209,757.90
  5. Step 5: Solve for x
    x = 12,967,209,757.90/125,280
  6. Step 6: Final answer
    x = 103,505.83

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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.