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Finding the Fourth Proportional to 142,102.60, 213,269.10 and 137,494.60

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Solution

The fourth proportional to 142,102.60, 213,269.10 and 137,494.60 is: 206,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102.60 : 213,269.10 = 137,494.60 : x
  2. Step 2: Convert to fraction form
    142,102.60/213,269.10 = 137,494.60/x
  3. Step 3: Cross multiply
    142,102.60x = 213,269.10 × 137,494.60
  4. Step 4: Simplify right side
    142,102.60x = 29,323,349,596.86
  5. Step 5: Solve for x
    x = 29,323,349,596.86/142,102.60
  6. Step 6: Final answer
    x = 206,353.36

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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.