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Finding the Fourth Proportional to 100,991.34, 151,489.17 and 30,870.72

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Solution

The fourth proportional to 100,991.34, 151,489.17 and 30,870.72 is: 46,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,991.34 : 151,489.17 = 30,870.72 : x
  2. Step 2: Convert to fraction form
    100,991.34/151,489.17 = 30,870.72/x
  3. Step 3: Cross multiply
    100,991.34x = 151,489.17 × 30,870.72
  4. Step 4: Simplify right side
    100,991.34x = 4,676,579,750.10
  5. Step 5: Solve for x
    x = 4,676,579,750.10/100,991.34
  6. Step 6: Final answer
    x = 46,306.74

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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.