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Finding the Fourth Proportional to 138,950.64, 191,751.40 and 75,290

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Solution

The fourth proportional to 138,950.64, 191,751.40 and 75,290 is: 103,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,950.64 : 191,751.40 = 75,290 : x
  2. Step 2: Convert to fraction form
    138,950.64/191,751.40 = 75,290/x
  3. Step 3: Cross multiply
    138,950.64x = 191,751.40 × 75,290
  4. Step 4: Simplify right side
    138,950.64x = 14,436,962,906
  5. Step 5: Solve for x
    x = 14,436,962,906/138,950.64
  6. Step 6: Final answer
    x = 103,899.94

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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.