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Finding the Fourth Proportional to 178,354.16, 267,509.32 and 103,515

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Solution

The fourth proportional to 178,354.16, 267,509.32 and 103,515 is: 155,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,354.16 : 267,509.32 = 103,515 : x
  2. Step 2: Convert to fraction form
    178,354.16/267,509.32 = 103,515/x
  3. Step 3: Cross multiply
    178,354.16x = 267,509.32 × 103,515
  4. Step 4: Simplify right side
    178,354.16x = 27,691,227,259.80
  5. Step 5: Solve for x
    x = 27,691,227,259.80/178,354.16
  6. Step 6: Final answer
    x = 155,259.78

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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.