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Finding the Fourth Proportional to 71,193.42, 98,251.32 and 40,978.08

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Solution

The fourth proportional to 71,193.42, 98,251.32 and 40,978.08 is: 56,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,193.42 : 98,251.32 = 40,978.08 : x
  2. Step 2: Convert to fraction form
    71,193.42/98,251.32 = 40,978.08/x
  3. Step 3: Cross multiply
    71,193.42x = 98,251.32 × 40,978.08
  4. Step 4: Simplify right side
    71,193.42x = 4,026,150,451.07
  5. Step 5: Solve for x
    x = 4,026,150,451.07/71,193.42
  6. Step 6: Final answer
    x = 56,552.28

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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.