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Finding the Fourth Proportional to 100,580.13, 138,808.89 and 64,844.55

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Solution

The fourth proportional to 100,580.13, 138,808.89 and 64,844.55 is: 89,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.13 : 138,808.89 = 64,844.55 : x
  2. Step 2: Convert to fraction form
    100,580.13/138,808.89 = 64,844.55/x
  3. Step 3: Cross multiply
    100,580.13x = 138,808.89 × 64,844.55
  4. Step 4: Simplify right side
    100,580.13x = 9,001,000,008.05
  5. Step 5: Solve for x
    x = 9,001,000,008.05/100,580.13
  6. Step 6: Final answer
    x = 89,490.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.