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Finding the Fourth Proportional to 136,463.79, 204,732.74 and 77,340.98

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Solution

The fourth proportional to 136,463.79, 204,732.74 and 77,340.98 is: 116,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,463.79 : 204,732.74 = 77,340.98 : x
  2. Step 2: Convert to fraction form
    136,463.79/204,732.74 = 77,340.98/x
  3. Step 3: Cross multiply
    136,463.79x = 204,732.74 × 77,340.98
  4. Step 4: Simplify right side
    136,463.79x = 15,834,231,454.87
  5. Step 5: Solve for x
    x = 15,834,231,454.87/136,463.79
  6. Step 6: Final answer
    x = 116,032.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.