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Finding the Fourth Proportional to 77,346.28, 106,757.22 and 47,521

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Solution

The fourth proportional to 77,346.28, 106,757.22 and 47,521 is: 65,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,346.28 : 106,757.22 = 47,521 : x
  2. Step 2: Convert to fraction form
    77,346.28/106,757.22 = 47,521/x
  3. Step 3: Cross multiply
    77,346.28x = 106,757.22 × 47,521
  4. Step 4: Simplify right side
    77,346.28x = 5,073,209,851.62
  5. Step 5: Solve for x
    x = 5,073,209,851.62/77,346.28
  6. Step 6: Final answer
    x = 65,590.87

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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.