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Finding the Fourth Proportional to 77,344, 106,718.52 and 45,516.40

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Solution

The fourth proportional to 77,344, 106,718.52 and 45,516.40 is: 62,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344 : 106,718.52 = 45,516.40 : x
  2. Step 2: Convert to fraction form
    77,344/106,718.52 = 45,516.40/x
  3. Step 3: Cross multiply
    77,344x = 106,718.52 × 45,516.40
  4. Step 4: Simplify right side
    77,344x = 4,857,442,843.73
  5. Step 5: Solve for x
    x = 4,857,442,843.73/77,344
  6. Step 6: Final answer
    x = 62,803.10

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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.