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Finding the Fourth Proportional to 65,260.80, 97,894.92 and 18,510

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Solution

The fourth proportional to 65,260.80, 97,894.92 and 18,510 is: 27,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260.80 : 97,894.92 = 18,510 : x
  2. Step 2: Convert to fraction form
    65,260.80/97,894.92 = 18,510/x
  3. Step 3: Cross multiply
    65,260.80x = 97,894.92 × 18,510
  4. Step 4: Simplify right side
    65,260.80x = 1,812,034,969.20
  5. Step 5: Solve for x
    x = 1,812,034,969.20/65,260.80
  6. Step 6: Final answer
    x = 27,766.06

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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.