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Finding the Fourth Proportional to 99,305.40, 148,961.70 and 29,191.80

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Solution

The fourth proportional to 99,305.40, 148,961.70 and 29,191.80 is: 43,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,305.40 : 148,961.70 = 29,191.80 : x
  2. Step 2: Convert to fraction form
    99,305.40/148,961.70 = 29,191.80/x
  3. Step 3: Cross multiply
    99,305.40x = 148,961.70 × 29,191.80
  4. Step 4: Simplify right side
    99,305.40x = 4,348,460,154.06
  5. Step 5: Solve for x
    x = 4,348,460,154.06/99,305.40
  6. Step 6: Final answer
    x = 43,788.76

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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.