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Finding the Fourth Proportional to 123,978.60, 185,967.90 and 64,832.40

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Solution

The fourth proportional to 123,978.60, 185,967.90 and 64,832.40 is: 97,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,978.60 : 185,967.90 = 64,832.40 : x
  2. Step 2: Convert to fraction form
    123,978.60/185,967.90 = 64,832.40/x
  3. Step 3: Cross multiply
    123,978.60x = 185,967.90 × 64,832.40
  4. Step 4: Simplify right side
    123,978.60x = 12,056,745,279.96
  5. Step 5: Solve for x
    x = 12,056,745,279.96/123,978.60
  6. Step 6: Final answer
    x = 97,248.60

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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.