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Finding the Fourth Proportional to 84,211.87, 126,317.34 and 21,031.87

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Solution

The fourth proportional to 84,211.87, 126,317.34 and 21,031.87 is: 31,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,211.87 : 126,317.34 = 21,031.87 : x
  2. Step 2: Convert to fraction form
    84,211.87/126,317.34 = 21,031.87/x
  3. Step 3: Cross multiply
    84,211.87x = 126,317.34 × 21,031.87
  4. Step 4: Simplify right side
    84,211.87x = 2,656,689,873.63
  5. Step 5: Solve for x
    x = 2,656,689,873.63/84,211.87
  6. Step 6: Final answer
    x = 31,547.69

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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.