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Finding the Fourth Proportional to 115,507.28, 159,400.02 and 65,206.28

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Solution

The fourth proportional to 115,507.28, 159,400.02 and 65,206.28 is: 89,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,507.28 : 159,400.02 = 65,206.28 : x
  2. Step 2: Convert to fraction form
    115,507.28/159,400.02 = 65,206.28/x
  3. Step 3: Cross multiply
    115,507.28x = 159,400.02 × 65,206.28
  4. Step 4: Simplify right side
    115,507.28x = 10,393,882,336.13
  5. Step 5: Solve for x
    x = 10,393,882,336.13/115,507.28
  6. Step 6: Final answer
    x = 89,984.65

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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.