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Finding the Fourth Proportional to 101,986.60, 152,920.50 and 39,584.20

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Solution

The fourth proportional to 101,986.60, 152,920.50 and 39,584.20 is: 59,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986.60 : 152,920.50 = 39,584.20 : x
  2. Step 2: Convert to fraction form
    101,986.60/152,920.50 = 39,584.20/x
  3. Step 3: Cross multiply
    101,986.60x = 152,920.50 × 39,584.20
  4. Step 4: Simplify right side
    101,986.60x = 6,053,235,656.10
  5. Step 5: Solve for x
    x = 6,053,235,656.10/101,986.60
  6. Step 6: Final answer
    x = 59,353.24

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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.