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Finding the Fourth Proportional to 100,042.94, 137,924.15 and 64,170.67

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Solution

The fourth proportional to 100,042.94, 137,924.15 and 64,170.67 is: 88,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.94 : 137,924.15 = 64,170.67 : x
  2. Step 2: Convert to fraction form
    100,042.94/137,924.15 = 64,170.67/x
  3. Step 3: Cross multiply
    100,042.94x = 137,924.15 × 64,170.67
  4. Step 4: Simplify right side
    100,042.94x = 8,850,684,449.02
  5. Step 5: Solve for x
    x = 8,850,684,449.02/100,042.94
  6. Step 6: Final answer
    x = 88,468.86

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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.