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Finding the Fourth Proportional to 109,507.34, 151,113.95 and 61,757.84

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Solution

The fourth proportional to 109,507.34, 151,113.95 and 61,757.84 is: 85,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,507.34 : 151,113.95 = 61,757.84 : x
  2. Step 2: Convert to fraction form
    109,507.34/151,113.95 = 61,757.84/x
  3. Step 3: Cross multiply
    109,507.34x = 151,113.95 × 61,757.84
  4. Step 4: Simplify right side
    109,507.34x = 9,332,471,793.84
  5. Step 5: Solve for x
    x = 9,332,471,793.84/109,507.34
  6. Step 6: Final answer
    x = 85,222.34

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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.