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Finding the Fourth Proportional to 101,565.19, 152,347.59 and 30,487.75

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Solution

The fourth proportional to 101,565.19, 152,347.59 and 30,487.75 is: 45,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,565.19 : 152,347.59 = 30,487.75 : x
  2. Step 2: Convert to fraction form
    101,565.19/152,347.59 = 30,487.75/x
  3. Step 3: Cross multiply
    101,565.19x = 152,347.59 × 30,487.75
  4. Step 4: Simplify right side
    101,565.19x = 4,644,735,694.11
  5. Step 5: Solve for x
    x = 4,644,735,694.11/101,565.19
  6. Step 6: Final answer
    x = 45,731.57

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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.