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Finding the Fourth Proportional to 99,287.80, 148,930.50 and 29,164.60

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Solution

The fourth proportional to 99,287.80, 148,930.50 and 29,164.60 is: 43,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,287.80 : 148,930.50 = 29,164.60 : x
  2. Step 2: Convert to fraction form
    99,287.80/148,930.50 = 29,164.60/x
  3. Step 3: Cross multiply
    99,287.80x = 148,930.50 × 29,164.60
  4. Step 4: Simplify right side
    99,287.80x = 4,343,498,460.30
  5. Step 5: Solve for x
    x = 4,343,498,460.30/99,287.80
  6. Step 6: Final answer
    x = 43,746.55

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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.