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Finding the Fourth Proportional to 205,359.90, 307,708.65 and 116,348.70

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Solution

The fourth proportional to 205,359.90, 307,708.65 and 116,348.70 is: 174,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,359.90 : 307,708.65 = 116,348.70 : x
  2. Step 2: Convert to fraction form
    205,359.90/307,708.65 = 116,348.70/x
  3. Step 3: Cross multiply
    205,359.90x = 307,708.65 × 116,348.70
  4. Step 4: Simplify right side
    205,359.90x = 35,801,501,406.26
  5. Step 5: Solve for x
    x = 35,801,501,406.26/205,359.90
  6. Step 6: Final answer
    x = 174,335.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.