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Finding the Fourth Proportional to 185,648.29, 278,097.88 and 85,669.58

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Solution

The fourth proportional to 185,648.29, 278,097.88 and 85,669.58 is: 128,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,648.29 : 278,097.88 = 85,669.58 : x
  2. Step 2: Convert to fraction form
    185,648.29/278,097.88 = 85,669.58/x
  3. Step 3: Cross multiply
    185,648.29x = 278,097.88 × 85,669.58
  4. Step 4: Simplify right side
    185,648.29x = 23,824,528,578.49
  5. Step 5: Solve for x
    x = 23,824,528,578.49/185,648.29
  6. Step 6: Final answer
    x = 128,331.53

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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.