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Finding the Fourth Proportional to 257,717.65, 386,483.85 and 89,192.26

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Solution

The fourth proportional to 257,717.65, 386,483.85 and 89,192.26 is: 133,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,717.65 : 386,483.85 = 89,192.26 : x
  2. Step 2: Convert to fraction form
    257,717.65/386,483.85 = 89,192.26/x
  3. Step 3: Cross multiply
    257,717.65x = 386,483.85 × 89,192.26
  4. Step 4: Simplify right side
    257,717.65x = 34,471,368,035.00
  5. Step 5: Solve for x
    x = 34,471,368,035.00/257,717.65
  6. Step 6: Final answer
    x = 133,756.33

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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.