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Finding the Fourth Proportional to 109,102.83, 150,530.85 and 65,477.66

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Solution

The fourth proportional to 109,102.83, 150,530.85 and 65,477.66 is: 90,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,102.83 : 150,530.85 = 65,477.66 : x
  2. Step 2: Convert to fraction form
    109,102.83/150,530.85 = 65,477.66/x
  3. Step 3: Cross multiply
    109,102.83x = 150,530.85 × 65,477.66
  4. Step 4: Simplify right side
    109,102.83x = 9,856,407,063.16
  5. Step 5: Solve for x
    x = 9,856,407,063.16/109,102.83
  6. Step 6: Final answer
    x = 90,340.53

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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.