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Finding the Fourth Proportional to 272,585.49, 408,936.50 and 83,061

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Solution

The fourth proportional to 272,585.49, 408,936.50 and 83,061 is: 124,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,585.49 : 408,936.50 = 83,061 : x
  2. Step 2: Convert to fraction form
    272,585.49/408,936.50 = 83,061/x
  3. Step 3: Cross multiply
    272,585.49x = 408,936.50 × 83,061
  4. Step 4: Simplify right side
    272,585.49x = 33,966,674,211.20
  5. Step 5: Solve for x
    x = 33,966,674,211.20/272,585.49
  6. Step 6: Final answer
    x = 124,609.25

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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.