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Finding the Fourth Proportional to 135,590.16, 203,065.29 and 68,864.82

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Solution

The fourth proportional to 135,590.16, 203,065.29 and 68,864.82 is: 103,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,590.16 : 203,065.29 = 68,864.82 : x
  2. Step 2: Convert to fraction form
    135,590.16/203,065.29 = 68,864.82/x
  3. Step 3: Cross multiply
    135,590.16x = 203,065.29 × 68,864.82
  4. Step 4: Simplify right side
    135,590.16x = 13,984,054,644.10
  5. Step 5: Solve for x
    x = 13,984,054,644.10/135,590.16
  6. Step 6: Final answer
    x = 103,134.73

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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.