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Finding the Fourth Proportional to 178,477.48, 267,630.80 and 103,618.32

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Solution

The fourth proportional to 178,477.48, 267,630.80 and 103,618.32 is: 155,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,477.48 : 267,630.80 = 103,618.32 : x
  2. Step 2: Convert to fraction form
    178,477.48/267,630.80 = 103,618.32/x
  3. Step 3: Cross multiply
    178,477.48x = 267,630.80 × 103,618.32
  4. Step 4: Simplify right side
    178,477.48x = 27,731,453,876.26
  5. Step 5: Solve for x
    x = 27,731,453,876.26/178,477.48
  6. Step 6: Final answer
    x = 155,377.89

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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.