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Finding the Fourth Proportional to 142,000.40, 195,960.12 and 78,345.20

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Solution

The fourth proportional to 142,000.40, 195,960.12 and 78,345.20 is: 108,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.40 : 195,960.12 = 78,345.20 : x
  2. Step 2: Convert to fraction form
    142,000.40/195,960.12 = 78,345.20/x
  3. Step 3: Cross multiply
    142,000.40x = 195,960.12 × 78,345.20
  4. Step 4: Simplify right side
    142,000.40x = 15,352,534,793.42
  5. Step 5: Solve for x
    x = 15,352,534,793.42/142,000.40
  6. Step 6: Final answer
    x = 108,116.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.