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Finding the Fourth Proportional to 125,348.16, 172,952.56 and 71,616

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Solution

The fourth proportional to 125,348.16, 172,952.56 and 71,616 is: 98,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,348.16 : 172,952.56 = 71,616 : x
  2. Step 2: Convert to fraction form
    125,348.16/172,952.56 = 71,616/x
  3. Step 3: Cross multiply
    125,348.16x = 172,952.56 × 71,616
  4. Step 4: Simplify right side
    125,348.16x = 12,386,170,536.96
  5. Step 5: Solve for x
    x = 12,386,170,536.96/125,348.16
  6. Step 6: Final answer
    x = 98,814.14

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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.