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Finding the Fourth Proportional to 189,085.52, 283,681 and 82,479

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Solution

The fourth proportional to 189,085.52, 283,681 and 82,479 is: 123,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,085.52 : 283,681 = 82,479 : x
  2. Step 2: Convert to fraction form
    189,085.52/283,681 = 82,479/x
  3. Step 3: Cross multiply
    189,085.52x = 283,681 × 82,479
  4. Step 4: Simplify right side
    189,085.52x = 23,397,725,199
  5. Step 5: Solve for x
    x = 23,397,725,199/189,085.52
  6. Step 6: Final answer
    x = 123,741.50

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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.