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Finding the Fourth Proportional to 205,553.70, 308,319.62 and 65,301.39

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Solution

The fourth proportional to 205,553.70, 308,319.62 and 65,301.39 is: 97,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,553.70 : 308,319.62 = 65,301.39 : x
  2. Step 2: Convert to fraction form
    205,553.70/308,319.62 = 65,301.39/x
  3. Step 3: Cross multiply
    205,553.70x = 308,319.62 × 65,301.39
  4. Step 4: Simplify right side
    205,553.70x = 20,133,699,423.76
  5. Step 5: Solve for x
    x = 20,133,699,423.76/205,553.70
  6. Step 6: Final answer
    x = 97,948.61

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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.