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Finding the Fourth Proportional to 57,690.80, 86,536.20 and 42,023.60

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Solution

The fourth proportional to 57,690.80, 86,536.20 and 42,023.60 is: 63,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,690.80 : 86,536.20 = 42,023.60 : x
  2. Step 2: Convert to fraction form
    57,690.80/86,536.20 = 42,023.60/x
  3. Step 3: Cross multiply
    57,690.80x = 86,536.20 × 42,023.60
  4. Step 4: Simplify right side
    57,690.80x = 3,636,562,654.32
  5. Step 5: Solve for x
    x = 3,636,562,654.32/57,690.80
  6. Step 6: Final answer
    x = 63,035.40

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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.