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Finding the Fourth Proportional to 83,465.64, 125,203 and 21,136.68

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Solution

The fourth proportional to 83,465.64, 125,203 and 21,136.68 is: 31,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,465.64 : 125,203 = 21,136.68 : x
  2. Step 2: Convert to fraction form
    83,465.64/125,203 = 21,136.68/x
  3. Step 3: Cross multiply
    83,465.64x = 125,203 × 21,136.68
  4. Step 4: Simplify right side
    83,465.64x = 2,646,375,746.04
  5. Step 5: Solve for x
    x = 2,646,375,746.04/83,465.64
  6. Step 6: Final answer
    x = 31,706.17

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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.