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Finding the Fourth Proportional to 99,971.80, 137,771.28 and 71,628.28

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Solution

The fourth proportional to 99,971.80, 137,771.28 and 71,628.28 is: 98,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,971.80 : 137,771.28 = 71,628.28 : x
  2. Step 2: Convert to fraction form
    99,971.80/137,771.28 = 71,628.28/x
  3. Step 3: Cross multiply
    99,971.80x = 137,771.28 × 71,628.28
  4. Step 4: Simplify right side
    99,971.80x = 9,868,319,819.80
  5. Step 5: Solve for x
    x = 9,868,319,819.80/99,971.80
  6. Step 6: Final answer
    x = 98,711.03

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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.