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Finding the Fourth Proportional to 115,564, 159,491.28 and 65,266.24

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Solution

The fourth proportional to 115,564, 159,491.28 and 65,266.24 is: 90,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,564 : 159,491.28 = 65,266.24 : x
  2. Step 2: Convert to fraction form
    115,564/159,491.28 = 65,266.24/x
  3. Step 3: Cross multiply
    115,564x = 159,491.28 × 65,266.24
  4. Step 4: Simplify right side
    115,564x = 10,409,396,158.39
  5. Step 5: Solve for x
    x = 10,409,396,158.39/115,564
  6. Step 6: Final answer
    x = 90,074.73

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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.