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Finding the Fourth Proportional to 205,474.68, 308,089.02 and 85,386.81

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Solution

The fourth proportional to 205,474.68, 308,089.02 and 85,386.81 is: 128,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,474.68 : 308,089.02 = 85,386.81 : x
  2. Step 2: Convert to fraction form
    205,474.68/308,089.02 = 85,386.81/x
  3. Step 3: Cross multiply
    205,474.68x = 308,089.02 × 85,386.81
  4. Step 4: Simplify right side
    205,474.68x = 26,306,738,613.83
  5. Step 5: Solve for x
    x = 26,306,738,613.83/205,474.68
  6. Step 6: Final answer
    x = 128,029.10

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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.