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Finding the Fourth Proportional to 171,781.76, 257,181.12 and 116,278.40

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Solution

The fourth proportional to 171,781.76, 257,181.12 and 116,278.40 is: 174,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,781.76 : 257,181.12 = 116,278.40 : x
  2. Step 2: Convert to fraction form
    171,781.76/257,181.12 = 116,278.40/x
  3. Step 3: Cross multiply
    171,781.76x = 257,181.12 × 116,278.40
  4. Step 4: Simplify right side
    171,781.76x = 29,904,609,143.81
  5. Step 5: Solve for x
    x = 29,904,609,143.81/171,781.76
  6. Step 6: Final answer
    x = 174,084.89

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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.