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Finding the Fourth Proportional to 107,870.70, 161,806.05 and 100,872.30

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Solution

The fourth proportional to 107,870.70, 161,806.05 and 100,872.30 is: 151,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,870.70 : 161,806.05 = 100,872.30 : x
  2. Step 2: Convert to fraction form
    107,870.70/161,806.05 = 100,872.30/x
  3. Step 3: Cross multiply
    107,870.70x = 161,806.05 × 100,872.30
  4. Step 4: Simplify right side
    107,870.70x = 16,321,748,417.42
  5. Step 5: Solve for x
    x = 16,321,748,417.42/107,870.70
  6. Step 6: Final answer
    x = 151,308.45

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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.