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Finding the Fourth Proportional to 257,711.76, 386,623.15 and 77,782.12

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Solution

The fourth proportional to 257,711.76, 386,623.15 and 77,782.12 is: 116,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,711.76 : 386,623.15 = 77,782.12 : x
  2. Step 2: Convert to fraction form
    257,711.76/386,623.15 = 77,782.12/x
  3. Step 3: Cross multiply
    257,711.76x = 386,623.15 × 77,782.12
  4. Step 4: Simplify right side
    257,711.76x = 30,072,366,314.96
  5. Step 5: Solve for x
    x = 30,072,366,314.96/257,711.76
  6. Step 6: Final answer
    x = 116,689.93

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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.