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Finding the Fourth Proportional to 257,713.65, 386,477.87 and 89,188.25

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Solution

The fourth proportional to 257,713.65, 386,477.87 and 89,188.25 is: 133,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,713.65 : 386,477.87 = 89,188.25 : x
  2. Step 2: Convert to fraction form
    257,713.65/386,477.87 = 89,188.25/x
  3. Step 3: Cross multiply
    257,713.65x = 386,477.87 × 89,188.25
  4. Step 4: Simplify right side
    257,713.65x = 34,469,282,510.70
  5. Step 5: Solve for x
    x = 34,469,282,510.70/257,713.65
  6. Step 6: Final answer
    x = 133,750.32

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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.