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Finding the Fourth Proportional to 66,648.42, 99,886.43 and 49,876.83

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Solution

The fourth proportional to 66,648.42, 99,886.43 and 49,876.83 is: 74,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,648.42 : 99,886.43 = 49,876.83 : x
  2. Step 2: Convert to fraction form
    66,648.42/99,886.43 = 49,876.83/x
  3. Step 3: Cross multiply
    66,648.42x = 99,886.43 × 49,876.83
  4. Step 4: Simplify right side
    66,648.42x = 4,982,018,613.11
  5. Step 5: Solve for x
    x = 4,982,018,613.11/66,648.42
  6. Step 6: Final answer
    x = 74,750.74

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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.