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Finding the Fourth Proportional to 102,952.70, 154,429.05 and 71,459.90

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Solution

The fourth proportional to 102,952.70, 154,429.05 and 71,459.90 is: 107,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.70 : 154,429.05 = 71,459.90 : x
  2. Step 2: Convert to fraction form
    102,952.70/154,429.05 = 71,459.90/x
  3. Step 3: Cross multiply
    102,952.70x = 154,429.05 × 71,459.90
  4. Step 4: Simplify right side
    102,952.70x = 11,035,484,470.10
  5. Step 5: Solve for x
    x = 11,035,484,470.10/102,952.70
  6. Step 6: Final answer
    x = 107,189.85

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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.