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Finding the Fourth Proportional to 220,920.10, 304,869.74 and 120,318.10

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Solution

The fourth proportional to 220,920.10, 304,869.74 and 120,318.10 is: 166,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,920.10 : 304,869.74 = 120,318.10 : x
  2. Step 2: Convert to fraction form
    220,920.10/304,869.74 = 120,318.10/x
  3. Step 3: Cross multiply
    220,920.10x = 304,869.74 × 120,318.10
  4. Step 4: Simplify right side
    220,920.10x = 36,681,346,500.53
  5. Step 5: Solve for x
    x = 36,681,346,500.53/220,920.10
  6. Step 6: Final answer
    x = 166,038.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.