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Finding the Fourth Proportional to 142,415.42, 213,751.53 and 75,910.94

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Solution

The fourth proportional to 142,415.42, 213,751.53 and 75,910.94 is: 113,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,415.42 : 213,751.53 = 75,910.94 : x
  2. Step 2: Convert to fraction form
    142,415.42/213,751.53 = 75,910.94/x
  3. Step 3: Cross multiply
    142,415.42x = 213,751.53 × 75,910.94
  4. Step 4: Simplify right side
    142,415.42x = 16,226,079,568.74
  5. Step 5: Solve for x
    x = 16,226,079,568.74/142,415.42
  6. Step 6: Final answer
    x = 113,934.85

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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.