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Finding the Fourth Proportional to 101,813.92, 152,659.52 and 45,643.86

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Solution

The fourth proportional to 101,813.92, 152,659.52 and 45,643.86 is: 68,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,813.92 : 152,659.52 = 45,643.86 : x
  2. Step 2: Convert to fraction form
    101,813.92/152,659.52 = 45,643.86/x
  3. Step 3: Cross multiply
    101,813.92x = 152,659.52 × 45,643.86
  4. Step 4: Simplify right side
    101,813.92x = 6,967,969,758.55
  5. Step 5: Solve for x
    x = 6,967,969,758.55/101,813.92
  6. Step 6: Final answer
    x = 68,438.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.