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Finding the Fourth Proportional to 64,314.60, 96,414.30 and 42,138.60

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Solution

The fourth proportional to 64,314.60, 96,414.30 and 42,138.60 is: 63,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,314.60 : 96,414.30 = 42,138.60 : x
  2. Step 2: Convert to fraction form
    64,314.60/96,414.30 = 42,138.60/x
  3. Step 3: Cross multiply
    64,314.60x = 96,414.30 × 42,138.60
  4. Step 4: Simplify right side
    64,314.60x = 4,062,763,621.98
  5. Step 5: Solve for x
    x = 4,062,763,621.98/64,314.60
  6. Step 6: Final answer
    x = 63,170.16

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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.