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Finding the Fourth Proportional to 138,768.50, 191,500.54 and 75,106.82

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Solution

The fourth proportional to 138,768.50, 191,500.54 and 75,106.82 is: 103,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768.50 : 191,500.54 = 75,106.82 : x
  2. Step 2: Convert to fraction form
    138,768.50/191,500.54 = 75,106.82/x
  3. Step 3: Cross multiply
    138,768.50x = 191,500.54 × 75,106.82
  4. Step 4: Simplify right side
    138,768.50x = 14,382,996,587.68
  5. Step 5: Solve for x
    x = 14,382,996,587.68/138,768.50
  6. Step 6: Final answer
    x = 103,647.42

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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.