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Finding the Fourth Proportional to 145,507.46, 218,377.84 and 75,406.82

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Solution

The fourth proportional to 145,507.46, 218,377.84 and 75,406.82 is: 113,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,507.46 : 218,377.84 = 75,406.82 : x
  2. Step 2: Convert to fraction form
    145,507.46/218,377.84 = 75,406.82/x
  3. Step 3: Cross multiply
    145,507.46x = 218,377.84 × 75,406.82
  4. Step 4: Simplify right side
    145,507.46x = 16,467,178,472.87
  5. Step 5: Solve for x
    x = 16,467,178,472.87/145,507.46
  6. Step 6: Final answer
    x = 113,170.68

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1.5x scale

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.