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Finding the Fourth Proportional to 110,732.80, 152,791.14 and 65,418.16

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Solution

The fourth proportional to 110,732.80, 152,791.14 and 65,418.16 is: 90,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,732.80 : 152,791.14 = 65,418.16 : x
  2. Step 2: Convert to fraction form
    110,732.80/152,791.14 = 65,418.16/x
  3. Step 3: Cross multiply
    110,732.80x = 152,791.14 × 65,418.16
  4. Step 4: Simplify right side
    110,732.80x = 9,995,315,243.10
  5. Step 5: Solve for x
    x = 9,995,315,243.10/110,732.80
  6. Step 6: Final answer
    x = 90,265.17

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1.5x scale

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.