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Finding the Fourth Proportional to 205,262.40, 307,913.76 and 85,294.56

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Solution

The fourth proportional to 205,262.40, 307,913.76 and 85,294.56 is: 127,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,262.40 : 307,913.76 = 85,294.56 : x
  2. Step 2: Convert to fraction form
    205,262.40/307,913.76 = 85,294.56/x
  3. Step 3: Cross multiply
    205,262.40x = 307,913.76 × 85,294.56
  4. Step 4: Simplify right side
    205,262.40x = 26,263,368,677.15
  5. Step 5: Solve for x
    x = 26,263,368,677.15/205,262.40
  6. Step 6: Final answer
    x = 127,950.22

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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.