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Finding the Fourth Proportional to 178,538.93, 267,809.90 and 45,419.30

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Solution

The fourth proportional to 178,538.93, 267,809.90 and 45,419.30 is: 68,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,538.93 : 267,809.90 = 45,419.30 : x
  2. Step 2: Convert to fraction form
    178,538.93/267,809.90 = 45,419.30/x
  3. Step 3: Cross multiply
    178,538.93x = 267,809.90 × 45,419.30
  4. Step 4: Simplify right side
    178,538.93x = 12,163,736,965.57
  5. Step 5: Solve for x
    x = 12,163,736,965.57/178,538.93
  6. Step 6: Final answer
    x = 68,129.33

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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.