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Finding the Fourth Proportional to 178,654.50, 267,631.32 and 103,617

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Solution

The fourth proportional to 178,654.50, 267,631.32 and 103,617 is: 155,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,654.50 : 267,631.32 = 103,617 : x
  2. Step 2: Convert to fraction form
    178,654.50/267,631.32 = 103,617/x
  3. Step 3: Cross multiply
    178,654.50x = 267,631.32 × 103,617
  4. Step 4: Simplify right side
    178,654.50x = 27,731,154,484.44
  5. Step 5: Solve for x
    x = 27,731,154,484.44/178,654.50
  6. Step 6: Final answer
    x = 155,222.26

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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.