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Finding the Fourth Proportional to 77,149.52, 106,447.56 and 45,319.76

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Solution

The fourth proportional to 77,149.52, 106,447.56 and 45,319.76 is: 62,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.52 : 106,447.56 = 45,319.76 : x
  2. Step 2: Convert to fraction form
    77,149.52/106,447.56 = 45,319.76/x
  3. Step 3: Cross multiply
    77,149.52x = 106,447.56 × 45,319.76
  4. Step 4: Simplify right side
    77,149.52x = 4,824,177,871.79
  5. Step 5: Solve for x
    x = 4,824,177,871.79/77,149.52
  6. Step 6: Final answer
    x = 62,530.24

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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.