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Finding the Fourth Proportional to 71,886.32, 99,203.80 and 39,622.10

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Solution

The fourth proportional to 71,886.32, 99,203.80 and 39,622.10 is: 54,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.32 : 99,203.80 = 39,622.10 : x
  2. Step 2: Convert to fraction form
    71,886.32/99,203.80 = 39,622.10/x
  3. Step 3: Cross multiply
    71,886.32x = 99,203.80 × 39,622.10
  4. Step 4: Simplify right side
    71,886.32x = 3,930,662,883.98
  5. Step 5: Solve for x
    x = 3,930,662,883.98/71,886.32
  6. Step 6: Final answer
    x = 54,678.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.