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Finding the Fourth Proportional to 178,245.20, 267,281.40 and 99,275.60

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Solution

The fourth proportional to 178,245.20, 267,281.40 and 99,275.60 is: 148,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,245.20 : 267,281.40 = 99,275.60 : x
  2. Step 2: Convert to fraction form
    178,245.20/267,281.40 = 99,275.60/x
  3. Step 3: Cross multiply
    178,245.20x = 267,281.40 × 99,275.60
  4. Step 4: Simplify right side
    178,245.20x = 26,534,521,353.84
  5. Step 5: Solve for x
    x = 26,534,521,353.84/178,245.20
  6. Step 6: Final answer
    x = 148,865.28

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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.