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Finding the Fourth Proportional to 115,506.28, 159,398.64 and 65,205.28

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Solution

The fourth proportional to 115,506.28, 159,398.64 and 65,205.28 is: 89,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,506.28 : 159,398.64 = 65,205.28 : x
  2. Step 2: Convert to fraction form
    115,506.28/159,398.64 = 65,205.28/x
  3. Step 3: Cross multiply
    115,506.28x = 159,398.64 × 65,205.28
  4. Step 4: Simplify right side
    115,506.28x = 10,393,632,952.82
  5. Step 5: Solve for x
    x = 10,393,632,952.82/115,506.28
  6. Step 6: Final answer
    x = 89,983.27

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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.