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Finding the Fourth Proportional to 101,430.80, 152,167.80 and 31,317.20

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Solution

The fourth proportional to 101,430.80, 152,167.80 and 31,317.20 is: 46,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430.80 : 152,167.80 = 31,317.20 : x
  2. Step 2: Convert to fraction form
    101,430.80/152,167.80 = 31,317.20/x
  3. Step 3: Cross multiply
    101,430.80x = 152,167.80 × 31,317.20
  4. Step 4: Simplify right side
    101,430.80x = 4,765,469,426.16
  5. Step 5: Solve for x
    x = 4,765,469,426.16/101,430.80
  6. Step 6: Final answer
    x = 46,982.47

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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.