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Finding the Fourth Proportional to 71,661.80, 107,492.70 and 32,172.78

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Solution

The fourth proportional to 71,661.80, 107,492.70 and 32,172.78 is: 48,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.80 : 107,492.70 = 32,172.78 : x
  2. Step 2: Convert to fraction form
    71,661.80/107,492.70 = 32,172.78/x
  3. Step 3: Cross multiply
    71,661.80x = 107,492.70 × 32,172.78
  4. Step 4: Simplify right side
    71,661.80x = 3,458,338,988.71
  5. Step 5: Solve for x
    x = 3,458,338,988.71/71,661.80
  6. Step 6: Final answer
    x = 48,259.17

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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.