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Finding the Fourth Proportional to 107,938.70, 161,908.05 and 99,644.30

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Solution

The fourth proportional to 107,938.70, 161,908.05 and 99,644.30 is: 149,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938.70 : 161,908.05 = 99,644.30 : x
  2. Step 2: Convert to fraction form
    107,938.70/161,908.05 = 99,644.30/x
  3. Step 3: Cross multiply
    107,938.70x = 161,908.05 × 99,644.30
  4. Step 4: Simplify right side
    107,938.70x = 16,133,214,306.62
  5. Step 5: Solve for x
    x = 16,133,214,306.62/107,938.70
  6. Step 6: Final answer
    x = 149,466.45

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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.