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Finding the Fourth Proportional to 49,407, 74,110.86 and 12,471

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Solution

The fourth proportional to 49,407, 74,110.86 and 12,471 is: 18,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,407 : 74,110.86 = 12,471 : x
  2. Step 2: Convert to fraction form
    49,407/74,110.86 = 12,471/x
  3. Step 3: Cross multiply
    49,407x = 74,110.86 × 12,471
  4. Step 4: Simplify right side
    49,407x = 924,236,535.06
  5. Step 5: Solve for x
    x = 924,236,535.06/49,407
  6. Step 6: Final answer
    x = 18,706.59

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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.