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Finding the Fourth Proportional to 103,864.78, 143,330 and 65,644.84

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Solution

The fourth proportional to 103,864.78, 143,330 and 65,644.84 is: 90,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,864.78 : 143,330 = 65,644.84 : x
  2. Step 2: Convert to fraction form
    103,864.78/143,330 = 65,644.84/x
  3. Step 3: Cross multiply
    103,864.78x = 143,330 × 65,644.84
  4. Step 4: Simplify right side
    103,864.78x = 9,408,874,917.20
  5. Step 5: Solve for x
    x = 9,408,874,917.20/103,864.78
  6. Step 6: Final answer
    x = 90,587.73

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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.