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Finding the Fourth Proportional to 84,378.40, 126,421.80 and 39,909.40

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Solution

The fourth proportional to 84,378.40, 126,421.80 and 39,909.40 is: 59,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,378.40 : 126,421.80 = 39,909.40 : x
  2. Step 2: Convert to fraction form
    84,378.40/126,421.80 = 39,909.40/x
  3. Step 3: Cross multiply
    84,378.40x = 126,421.80 × 39,909.40
  4. Step 4: Simplify right side
    84,378.40x = 5,045,418,184.92
  5. Step 5: Solve for x
    x = 5,045,418,184.92/84,378.40
  6. Step 6: Final answer
    x = 59,795.14

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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.