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Finding the Fourth Proportional to 205,877.40, 308,690.95 and 85,789.23

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Solution

The fourth proportional to 205,877.40, 308,690.95 and 85,789.23 is: 128,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877.40 : 308,690.95 = 85,789.23 : x
  2. Step 2: Convert to fraction form
    205,877.40/308,690.95 = 85,789.23/x
  3. Step 3: Cross multiply
    205,877.40x = 308,690.95 × 85,789.23
  4. Step 4: Simplify right side
    205,877.40x = 26,482,356,936.07
  5. Step 5: Solve for x
    x = 26,482,356,936.07/205,877.40
  6. Step 6: Final answer
    x = 128,631.69

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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.