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Finding the Fourth Proportional to 71,656.62, 98,885.43 and 39,824.84

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Solution

The fourth proportional to 71,656.62, 98,885.43 and 39,824.84 is: 54,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656.62 : 98,885.43 = 39,824.84 : x
  2. Step 2: Convert to fraction form
    71,656.62/98,885.43 = 39,824.84/x
  3. Step 3: Cross multiply
    71,656.62x = 98,885.43 × 39,824.84
  4. Step 4: Simplify right side
    71,656.62x = 3,938,095,981.74
  5. Step 5: Solve for x
    x = 3,938,095,981.74/71,656.62
  6. Step 6: Final answer
    x = 54,957.88

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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.