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Finding the Fourth Proportional to 115,603.74, 159,525.44 and 65,299.50

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Solution

The fourth proportional to 115,603.74, 159,525.44 and 65,299.50 is: 90,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,603.74 : 159,525.44 = 65,299.50 : x
  2. Step 2: Convert to fraction form
    115,603.74/159,525.44 = 65,299.50/x
  3. Step 3: Cross multiply
    115,603.74x = 159,525.44 × 65,299.50
  4. Step 4: Simplify right side
    115,603.74x = 10,416,931,469.28
  5. Step 5: Solve for x
    x = 10,416,931,469.28/115,603.74
  6. Step 6: Final answer
    x = 90,108.95

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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.