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Finding the Fourth Proportional to 57,645.60, 86,468.40 and 45,981.60

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Solution

The fourth proportional to 57,645.60, 86,468.40 and 45,981.60 is: 68,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.60 : 86,468.40 = 45,981.60 : x
  2. Step 2: Convert to fraction form
    57,645.60/86,468.40 = 45,981.60/x
  3. Step 3: Cross multiply
    57,645.60x = 86,468.40 × 45,981.60
  4. Step 4: Simplify right side
    57,645.60x = 3,975,955,381.44
  5. Step 5: Solve for x
    x = 3,975,955,381.44/57,645.60
  6. Step 6: Final answer
    x = 68,972.40

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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.