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Finding the Fourth Proportional to 115,896.61, 159,926.56 and 65,595.61

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Solution

The fourth proportional to 115,896.61, 159,926.56 and 65,595.61 is: 90,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,896.61 : 159,926.56 = 65,595.61 : x
  2. Step 2: Convert to fraction form
    115,896.61/159,926.56 = 65,595.61/x
  3. Step 3: Cross multiply
    115,896.61x = 159,926.56 × 65,595.61
  4. Step 4: Simplify right side
    115,896.61x = 10,490,480,258.40
  5. Step 5: Solve for x
    x = 10,490,480,258.40/115,896.61
  6. Step 6: Final answer
    x = 90,515.85

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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.