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Finding the Fourth Proportional to 83,522, 115,314.12 and 74,554.16

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Solution

The fourth proportional to 83,522, 115,314.12 and 74,554.16 is: 102,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,522 : 115,314.12 = 74,554.16 : x
  2. Step 2: Convert to fraction form
    83,522/115,314.12 = 74,554.16/x
  3. Step 3: Cross multiply
    83,522x = 115,314.12 × 74,554.16
  4. Step 4: Simplify right side
    83,522x = 8,597,147,352.74
  5. Step 5: Solve for x
    x = 8,597,147,352.74/83,522
  6. Step 6: Final answer
    x = 102,932.73

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1.5x scale

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.