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Finding the Fourth Proportional to 178,430.28, 267,978.12 and 157,090.56

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Solution

The fourth proportional to 178,430.28, 267,978.12 and 157,090.56 is: 235,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,430.28 : 267,978.12 = 157,090.56 : x
  2. Step 2: Convert to fraction form
    178,430.28/267,978.12 = 157,090.56/x
  3. Step 3: Cross multiply
    178,430.28x = 267,978.12 × 157,090.56
  4. Step 4: Simplify right side
    178,430.28x = 42,096,832,938.55
  5. Step 5: Solve for x
    x = 42,096,832,938.55/178,430.28
  6. Step 6: Final answer
    x = 235,928.75

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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.