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Finding the Fourth Proportional to 205,283.91, 307,934.37 and 70,440.68

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Solution

The fourth proportional to 205,283.91, 307,934.37 and 70,440.68 is: 105,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,283.91 : 307,934.37 = 70,440.68 : x
  2. Step 2: Convert to fraction form
    205,283.91/307,934.37 = 70,440.68/x
  3. Step 3: Cross multiply
    205,283.91x = 307,934.37 × 70,440.68
  4. Step 4: Simplify right side
    205,283.91x = 21,691,104,526.30
  5. Step 5: Solve for x
    x = 21,691,104,526.30/205,283.91
  6. Step 6: Final answer
    x = 105,663.93

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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.