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Finding the Fourth Proportional to 77,149.76, 106,463.76 and 43,616.48

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Solution

The fourth proportional to 77,149.76, 106,463.76 and 43,616.48 is: 60,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.76 : 106,463.76 = 43,616.48 : x
  2. Step 2: Convert to fraction form
    77,149.76/106,463.76 = 43,616.48/x
  3. Step 3: Cross multiply
    77,149.76x = 106,463.76 × 43,616.48
  4. Step 4: Simplify right side
    77,149.76x = 4,643,574,458.76
  5. Step 5: Solve for x
    x = 4,643,574,458.76/77,149.76
  6. Step 6: Final answer
    x = 60,189.10

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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.