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Finding the Fourth Proportional to 178,478.65, 267,631.86 and 103,617.64

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Solution

The fourth proportional to 178,478.65, 267,631.86 and 103,617.64 is: 155,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,478.65 : 267,631.86 = 103,617.64 : x
  2. Step 2: Convert to fraction form
    178,478.65/267,631.86 = 103,617.64/x
  3. Step 3: Cross multiply
    178,478.65x = 267,631.86 × 103,617.64
  4. Step 4: Simplify right side
    178,478.65x = 27,731,381,722.01
  5. Step 5: Solve for x
    x = 27,731,381,722.01/178,478.65
  6. Step 6: Final answer
    x = 155,376.47

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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.