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Finding the Fourth Proportional to 257,385.69, 385,946.82 and 107,585.10

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Solution

The fourth proportional to 257,385.69, 385,946.82 and 107,585.10 is: 161,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,385.69 : 385,946.82 = 107,585.10 : x
  2. Step 2: Convert to fraction form
    257,385.69/385,946.82 = 107,585.10/x
  3. Step 3: Cross multiply
    257,385.69x = 385,946.82 × 107,585.10
  4. Step 4: Simplify right side
    257,385.69x = 41,522,127,224.38
  5. Step 5: Solve for x
    x = 41,522,127,224.38/257,385.69
  6. Step 6: Final answer
    x = 161,322.59

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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.