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Finding the Fourth Proportional to 57,322.80, 85,984.20 and 15,769.80

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Solution

The fourth proportional to 57,322.80, 85,984.20 and 15,769.80 is: 23,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,322.80 : 85,984.20 = 15,769.80 : x
  2. Step 2: Convert to fraction form
    57,322.80/85,984.20 = 15,769.80/x
  3. Step 3: Cross multiply
    57,322.80x = 85,984.20 × 15,769.80
  4. Step 4: Simplify right side
    57,322.80x = 1,355,953,637.16
  5. Step 5: Solve for x
    x = 1,355,953,637.16/57,322.80
  6. Step 6: Final answer
    x = 23,654.70

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Similar ratio
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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.