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Finding the Fourth Proportional to 98,999.20, 148,433.20 and 54,647.20

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Solution

The fourth proportional to 98,999.20, 148,433.20 and 54,647.20 is: 81,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,999.20 : 148,433.20 = 54,647.20 : x
  2. Step 2: Convert to fraction form
    98,999.20/148,433.20 = 54,647.20/x
  3. Step 3: Cross multiply
    98,999.20x = 148,433.20 × 54,647.20
  4. Step 4: Simplify right side
    98,999.20x = 8,111,458,767.04
  5. Step 5: Solve for x
    x = 8,111,458,767.04/98,999.20
  6. Step 6: Final answer
    x = 81,934.59

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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.