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Finding the Fourth Proportional to 99,709.75, 149,663.15 and 43,588.59

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Solution

The fourth proportional to 99,709.75, 149,663.15 and 43,588.59 is: 65,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,709.75 : 149,663.15 = 43,588.59 : x
  2. Step 2: Convert to fraction form
    99,709.75/149,663.15 = 43,588.59/x
  3. Step 3: Cross multiply
    99,709.75x = 149,663.15 × 43,588.59
  4. Step 4: Simplify right side
    99,709.75x = 6,523,605,683.46
  5. Step 5: Solve for x
    x = 6,523,605,683.46/99,709.75
  6. Step 6: Final answer
    x = 65,425.96

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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.