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Finding the Fourth Proportional to 71,412, 98,412.66 and 52,297.62

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Solution

The fourth proportional to 71,412, 98,412.66 and 52,297.62 is: 72,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412 : 98,412.66 = 52,297.62 : x
  2. Step 2: Convert to fraction form
    71,412/98,412.66 = 52,297.62/x
  3. Step 3: Cross multiply
    71,412x = 98,412.66 × 52,297.62
  4. Step 4: Simplify right side
    71,412x = 5,146,747,895.87
  5. Step 5: Solve for x
    x = 5,146,747,895.87/71,412
  6. Step 6: Final answer
    x = 72,071.19

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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.