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Finding the Fourth Proportional to 205,502.50, 308,253.75 and 57,758.50

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Solution

The fourth proportional to 205,502.50, 308,253.75 and 57,758.50 is: 86,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,502.50 : 308,253.75 = 57,758.50 : x
  2. Step 2: Convert to fraction form
    205,502.50/308,253.75 = 57,758.50/x
  3. Step 3: Cross multiply
    205,502.50x = 308,253.75 × 57,758.50
  4. Step 4: Simplify right side
    205,502.50x = 17,804,274,219.38
  5. Step 5: Solve for x
    x = 17,804,274,219.38/205,502.50
  6. Step 6: Final answer
    x = 86,637.75

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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.