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Finding the Fourth Proportional to 209,288.59, 313,925.87 and 90,959.92

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Solution

The fourth proportional to 209,288.59, 313,925.87 and 90,959.92 is: 136,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,288.59 : 313,925.87 = 90,959.92 : x
  2. Step 2: Convert to fraction form
    209,288.59/313,925.87 = 90,959.92/x
  3. Step 3: Cross multiply
    209,288.59x = 313,925.87 × 90,959.92
  4. Step 4: Simplify right side
    209,288.59x = 28,554,671,566.33
  5. Step 5: Solve for x
    x = 28,554,671,566.33/209,288.59
  6. Step 6: Final answer
    x = 136,436.83

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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.