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Finding the Fourth Proportional to 83,187, 124,771.32 and 20,857.50

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Solution

The fourth proportional to 83,187, 124,771.32 and 20,857.50 is: 31,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187 : 124,771.32 = 20,857.50 : x
  2. Step 2: Convert to fraction form
    83,187/124,771.32 = 20,857.50/x
  3. Step 3: Cross multiply
    83,187x = 124,771.32 × 20,857.50
  4. Step 4: Simplify right side
    83,187x = 2,602,417,806.90
  5. Step 5: Solve for x
    x = 2,602,417,806.90/83,187
  6. Step 6: Final answer
    x = 31,283.95

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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.