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Finding the Fourth Proportional to 77,345.28, 106,755.84 and 47,520

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Solution

The fourth proportional to 77,345.28, 106,755.84 and 47,520 is: 65,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345.28 : 106,755.84 = 47,520 : x
  2. Step 2: Convert to fraction form
    77,345.28/106,755.84 = 47,520/x
  3. Step 3: Cross multiply
    77,345.28x = 106,755.84 × 47,520
  4. Step 4: Simplify right side
    77,345.28x = 5,073,037,516.80
  5. Step 5: Solve for x
    x = 5,073,037,516.80/77,345.28
  6. Step 6: Final answer
    x = 65,589.49

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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.