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Finding the Fourth Proportional to 145,808.20, 218,712.30 and 52,301.80

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Solution

The fourth proportional to 145,808.20, 218,712.30 and 52,301.80 is: 78,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,808.20 : 218,712.30 = 52,301.80 : x
  2. Step 2: Convert to fraction form
    145,808.20/218,712.30 = 52,301.80/x
  3. Step 3: Cross multiply
    145,808.20x = 218,712.30 × 52,301.80
  4. Step 4: Simplify right side
    145,808.20x = 11,439,046,972.14
  5. Step 5: Solve for x
    x = 11,439,046,972.14/145,808.20
  6. Step 6: Final answer
    x = 78,452.70

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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.