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Finding the Fourth Proportional to 257,259.82, 385,927.10 and 79,781.12

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Solution

The fourth proportional to 257,259.82, 385,927.10 and 79,781.12 is: 119,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,259.82 : 385,927.10 = 79,781.12 : x
  2. Step 2: Convert to fraction form
    257,259.82/385,927.10 = 79,781.12/x
  3. Step 3: Cross multiply
    257,259.82x = 385,927.10 × 79,781.12
  4. Step 4: Simplify right side
    257,259.82x = 30,789,696,276.35
  5. Step 5: Solve for x
    x = 30,789,696,276.35/257,259.82
  6. Step 6: Final answer
    x = 119,683.27

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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.