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Finding the Fourth Proportional to 107,912.70, 161,869.05 and 70,587.90

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Solution

The fourth proportional to 107,912.70, 161,869.05 and 70,587.90 is: 105,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,912.70 : 161,869.05 = 70,587.90 : x
  2. Step 2: Convert to fraction form
    107,912.70/161,869.05 = 70,587.90/x
  3. Step 3: Cross multiply
    107,912.70x = 161,869.05 × 70,587.90
  4. Step 4: Simplify right side
    107,912.70x = 11,425,996,314.50
  5. Step 5: Solve for x
    x = 11,425,996,314.50/107,912.70
  6. Step 6: Final answer
    x = 105,881.85

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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.