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Finding the Fourth Proportional to 205,478.68, 308,095.02 and 85,390.82

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Solution

The fourth proportional to 205,478.68, 308,095.02 and 85,390.82 is: 128,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,478.68 : 308,095.02 = 85,390.82 : x
  2. Step 2: Convert to fraction form
    205,478.68/308,095.02 = 85,390.82/x
  3. Step 3: Cross multiply
    205,478.68x = 308,095.02 × 85,390.82
  4. Step 4: Simplify right side
    205,478.68x = 26,308,486,395.72
  5. Step 5: Solve for x
    x = 26,308,486,395.72/205,478.68
  6. Step 6: Final answer
    x = 128,035.11

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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.