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Finding the Fourth Proportional to 142,003.80, 212,824.80 and 75,475.80

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Solution

The fourth proportional to 142,003.80, 212,824.80 and 75,475.80 is: 113,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,003.80 : 212,824.80 = 75,475.80 : x
  2. Step 2: Convert to fraction form
    142,003.80/212,824.80 = 75,475.80/x
  3. Step 3: Cross multiply
    142,003.80x = 212,824.80 × 75,475.80
  4. Step 4: Simplify right side
    142,003.80x = 16,063,122,039.84
  5. Step 5: Solve for x
    x = 16,063,122,039.84/142,003.80
  6. Step 6: Final answer
    x = 113,117.55

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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.