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Finding the Fourth Proportional to 51,656, 77,496.96 and 14,720

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Solution

The fourth proportional to 51,656, 77,496.96 and 14,720 is: 22,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,656 : 77,496.96 = 14,720 : x
  2. Step 2: Convert to fraction form
    51,656/77,496.96 = 14,720/x
  3. Step 3: Cross multiply
    51,656x = 77,496.96 × 14,720
  4. Step 4: Simplify right side
    51,656x = 1,140,755,251.20
  5. Step 5: Solve for x
    x = 1,140,755,251.20/51,656
  6. Step 6: Final answer
    x = 22,083.69

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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.