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Finding the Fourth Proportional to 257,385.78, 385,947.02 and 107,585.18

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Solution

The fourth proportional to 257,385.78, 385,947.02 and 107,585.18 is: 161,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,385.78 : 385,947.02 = 107,585.18 : x
  2. Step 2: Convert to fraction form
    257,385.78/385,947.02 = 107,585.18/x
  3. Step 3: Cross multiply
    257,385.78x = 385,947.02 × 107,585.18
  4. Step 4: Simplify right side
    257,385.78x = 41,522,179,617.16
  5. Step 5: Solve for x
    x = 41,522,179,617.16/257,385.78
  6. Step 6: Final answer
    x = 161,322.74

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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.