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Finding the Fourth Proportional to 99,580.80, 149,198.40 and 64,502.40

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Solution

The fourth proportional to 99,580.80, 149,198.40 and 64,502.40 is: 96,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,580.80 : 149,198.40 = 64,502.40 : x
  2. Step 2: Convert to fraction form
    99,580.80/149,198.40 = 64,502.40/x
  3. Step 3: Cross multiply
    99,580.80x = 149,198.40 × 64,502.40
  4. Step 4: Simplify right side
    99,580.80x = 9,623,654,876.16
  5. Step 5: Solve for x
    x = 9,623,654,876.16/99,580.80
  6. Step 6: Final answer
    x = 96,641.67

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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.