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Finding the Fourth Proportional to 115,909.40, 173,864.10 and 82,448.30

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Solution

The fourth proportional to 115,909.40, 173,864.10 and 82,448.30 is: 123,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,909.40 : 173,864.10 = 82,448.30 : x
  2. Step 2: Convert to fraction form
    115,909.40/173,864.10 = 82,448.30/x
  3. Step 3: Cross multiply
    115,909.40x = 173,864.10 × 82,448.30
  4. Step 4: Simplify right side
    115,909.40x = 14,334,799,476.03
  5. Step 5: Solve for x
    x = 14,334,799,476.03/115,909.40
  6. Step 6: Final answer
    x = 123,672.45

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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.