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Finding the Fourth Proportional to 257,382.93, 386,057.45 and 88,905.67

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Solution

The fourth proportional to 257,382.93, 386,057.45 and 88,905.67 is: 133,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,382.93 : 386,057.45 = 88,905.67 : x
  2. Step 2: Convert to fraction form
    257,382.93/386,057.45 = 88,905.67/x
  3. Step 3: Cross multiply
    257,382.93x = 386,057.45 × 88,905.67
  4. Step 4: Simplify right side
    257,382.93x = 34,322,695,507.86
  5. Step 5: Solve for x
    x = 34,322,695,507.86/257,382.93
  6. Step 6: Final answer
    x = 133,352.65

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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.