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Finding the Fourth Proportional to 96,270.80, 144,329.40 and 40,821.20

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Solution

The fourth proportional to 96,270.80, 144,329.40 and 40,821.20 is: 61,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,270.80 : 144,329.40 = 40,821.20 : x
  2. Step 2: Convert to fraction form
    96,270.80/144,329.40 = 40,821.20/x
  3. Step 3: Cross multiply
    96,270.80x = 144,329.40 × 40,821.20
  4. Step 4: Simplify right side
    96,270.80x = 5,891,699,303.28
  5. Step 5: Solve for x
    x = 5,891,699,303.28/96,270.80
  6. Step 6: Final answer
    x = 61,199.23

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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.