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Finding the Fourth Proportional to 71,487.84, 98,657.88 and 41,278.80

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Solution

The fourth proportional to 71,487.84, 98,657.88 and 41,278.80 is: 56,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487.84 : 98,657.88 = 41,278.80 : x
  2. Step 2: Convert to fraction form
    71,487.84/98,657.88 = 41,278.80/x
  3. Step 3: Cross multiply
    71,487.84x = 98,657.88 × 41,278.80
  4. Step 4: Simplify right side
    71,487.84x = 4,072,478,896.94
  5. Step 5: Solve for x
    x = 4,072,478,896.94/71,487.84
  6. Step 6: Final answer
    x = 56,967.44

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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.