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Finding the Fourth Proportional to 119,147.76, 178,720.43 and 30,400.31

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Solution

The fourth proportional to 119,147.76, 178,720.43 and 30,400.31 is: 45,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,147.76 : 178,720.43 = 30,400.31 : x
  2. Step 2: Convert to fraction form
    119,147.76/178,720.43 = 30,400.31/x
  3. Step 3: Cross multiply
    119,147.76x = 178,720.43 × 30,400.31
  4. Step 4: Simplify right side
    119,147.76x = 5,433,156,770.13
  5. Step 5: Solve for x
    x = 5,433,156,770.13/119,147.76
  6. Step 6: Final answer
    x = 45,600.16

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1.5x scale

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.