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Finding the Fourth Proportional to 142,798.60, 213,992.70 and 80,337.16

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Solution

The fourth proportional to 142,798.60, 213,992.70 and 80,337.16 is: 120,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,798.60 : 213,992.70 = 80,337.16 : x
  2. Step 2: Convert to fraction form
    142,798.60/213,992.70 = 80,337.16/x
  3. Step 3: Cross multiply
    142,798.60x = 213,992.70 × 80,337.16
  4. Step 4: Simplify right side
    142,798.60x = 17,191,565,778.73
  5. Step 5: Solve for x
    x = 17,191,565,778.73/142,798.60
  6. Step 6: Final answer
    x = 120,390.30

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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.