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Finding the Fourth Proportional to 83,286, 124,929.12 and 34,038

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Solution

The fourth proportional to 83,286, 124,929.12 and 34,038 is: 51,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286 : 124,929.12 = 34,038 : x
  2. Step 2: Convert to fraction form
    83,286/124,929.12 = 34,038/x
  3. Step 3: Cross multiply
    83,286x = 124,929.12 × 34,038
  4. Step 4: Simplify right side
    83,286x = 4,252,337,386.56
  5. Step 5: Solve for x
    x = 4,252,337,386.56/83,286
  6. Step 6: Final answer
    x = 51,057.05

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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.