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Finding the Fourth Proportional to 101,980.32, 152,910 and 38,805.18

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Solution

The fourth proportional to 101,980.32, 152,910 and 38,805.18 is: 58,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.32 : 152,910 = 38,805.18 : x
  2. Step 2: Convert to fraction form
    101,980.32/152,910 = 38,805.18/x
  3. Step 3: Cross multiply
    101,980.32x = 152,910 × 38,805.18
  4. Step 4: Simplify right side
    101,980.32x = 5,933,700,073.80
  5. Step 5: Solve for x
    x = 5,933,700,073.80/101,980.32
  6. Step 6: Final answer
    x = 58,184.76

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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.