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Finding the Fourth Proportional to 57,205.60, 85,808.40 and 38,543.20

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Solution

The fourth proportional to 57,205.60, 85,808.40 and 38,543.20 is: 57,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.60 : 85,808.40 = 38,543.20 : x
  2. Step 2: Convert to fraction form
    57,205.60/85,808.40 = 38,543.20/x
  3. Step 3: Cross multiply
    57,205.60x = 85,808.40 × 38,543.20
  4. Step 4: Simplify right side
    57,205.60x = 3,307,330,322.88
  5. Step 5: Solve for x
    x = 3,307,330,322.88/57,205.60
  6. Step 6: Final answer
    x = 57,814.80

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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.