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Finding the Fourth Proportional to 205,640.61, 308,460.90 and 115,689.30

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Solution

The fourth proportional to 205,640.61, 308,460.90 and 115,689.30 is: 173,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,640.61 : 308,460.90 = 115,689.30 : x
  2. Step 2: Convert to fraction form
    205,640.61/308,460.90 = 115,689.30/x
  3. Step 3: Cross multiply
    205,640.61x = 308,460.90 × 115,689.30
  4. Step 4: Simplify right side
    205,640.61x = 35,685,625,598.37
  5. Step 5: Solve for x
    x = 35,685,625,598.37/205,640.61
  6. Step 6: Final answer
    x = 173,533.94

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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.