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Finding the Fourth Proportional to 257,645.93, 386,463.09 and 89,156.09

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Solution

The fourth proportional to 257,645.93, 386,463.09 and 89,156.09 is: 133,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,645.93 : 386,463.09 = 89,156.09 : x
  2. Step 2: Convert to fraction form
    257,645.93/386,463.09 = 89,156.09/x
  3. Step 3: Cross multiply
    257,645.93x = 386,463.09 × 89,156.09
  4. Step 4: Simplify right side
    257,645.93x = 34,455,537,810.83
  5. Step 5: Solve for x
    x = 34,455,537,810.83/257,645.93
  6. Step 6: Final answer
    x = 133,732.13

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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.