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Finding the Fourth Proportional to 145,626.39, 200,925.09 and 85,212

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Solution

The fourth proportional to 145,626.39, 200,925.09 and 85,212 is: 117,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,626.39 : 200,925.09 = 85,212 : x
  2. Step 2: Convert to fraction form
    145,626.39/200,925.09 = 85,212/x
  3. Step 3: Cross multiply
    145,626.39x = 200,925.09 × 85,212
  4. Step 4: Simplify right side
    145,626.39x = 17,121,228,769.08
  5. Step 5: Solve for x
    x = 17,121,228,769.08/145,626.39
  6. Step 6: Final answer
    x = 117,569.55

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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.