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Finding the Fourth Proportional to 83,112.10, 124,583.10 and 40,927.30

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Solution

The fourth proportional to 83,112.10, 124,583.10 and 40,927.30 is: 61,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112.10 : 124,583.10 = 40,927.30 : x
  2. Step 2: Convert to fraction form
    83,112.10/124,583.10 = 40,927.30/x
  3. Step 3: Cross multiply
    83,112.10x = 124,583.10 × 40,927.30
  4. Step 4: Simplify right side
    83,112.10x = 5,098,849,908.63
  5. Step 5: Solve for x
    x = 5,098,849,908.63/83,112.10
  6. Step 6: Final answer
    x = 61,349.07

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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.