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Finding the Fourth Proportional to 153,864, 212,332.32 and 109,229.76

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Solution

The fourth proportional to 153,864, 212,332.32 and 109,229.76 is: 150,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,864 : 212,332.32 = 109,229.76 : x
  2. Step 2: Convert to fraction form
    153,864/212,332.32 = 109,229.76/x
  3. Step 3: Cross multiply
    153,864x = 212,332.32 × 109,229.76
  4. Step 4: Simplify right side
    153,864x = 23,193,008,353.84
  5. Step 5: Solve for x
    x = 23,193,008,353.84/153,864
  6. Step 6: Final answer
    x = 150,737.07

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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.