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Finding the Fourth Proportional to 115,642.12, 159,568.50 and 65,322.76

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Solution

The fourth proportional to 115,642.12, 159,568.50 and 65,322.76 is: 90,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,642.12 : 159,568.50 = 65,322.76 : x
  2. Step 2: Convert to fraction form
    115,642.12/159,568.50 = 65,322.76/x
  3. Step 3: Cross multiply
    115,642.12x = 159,568.50 × 65,322.76
  4. Step 4: Simplify right side
    115,642.12x = 10,423,454,829.06
  5. Step 5: Solve for x
    x = 10,423,454,829.06/115,642.12
  6. Step 6: Final answer
    x = 90,135.45

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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.