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Finding the Fourth Proportional to 99,909.49, 137,873.49 and 54,586.50

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Solution

The fourth proportional to 99,909.49, 137,873.49 and 54,586.50 is: 75,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909.49 : 137,873.49 = 54,586.50 : x
  2. Step 2: Convert to fraction form
    99,909.49/137,873.49 = 54,586.50/x
  3. Step 3: Cross multiply
    99,909.49x = 137,873.49 × 54,586.50
  4. Step 4: Simplify right side
    99,909.49x = 7,526,031,261.89
  5. Step 5: Solve for x
    x = 7,526,031,261.89/99,909.49
  6. Step 6: Final answer
    x = 75,328.49

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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.