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Finding the Fourth Proportional to 135,894.89, 203,835.13 and 42,389.93

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Solution

The fourth proportional to 135,894.89, 203,835.13 and 42,389.93 is: 63,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,894.89 : 203,835.13 = 42,389.93 : x
  2. Step 2: Convert to fraction form
    135,894.89/203,835.13 = 42,389.93/x
  3. Step 3: Cross multiply
    135,894.89x = 203,835.13 × 42,389.93
  4. Step 4: Simplify right side
    135,894.89x = 8,640,555,767.09
  5. Step 5: Solve for x
    x = 8,640,555,767.09/135,894.89
  6. Step 6: Final answer
    x = 63,582.64

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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.