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Finding the Fourth Proportional to 205,916.38, 308,897.61 and 65,642.46

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Solution

The fourth proportional to 205,916.38, 308,897.61 and 65,642.46 is: 98,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,916.38 : 308,897.61 = 65,642.46 : x
  2. Step 2: Convert to fraction form
    205,916.38/308,897.61 = 65,642.46/x
  3. Step 3: Cross multiply
    205,916.38x = 308,897.61 × 65,642.46
  4. Step 4: Simplify right side
    205,916.38x = 20,276,799,008.52
  5. Step 5: Solve for x
    x = 20,276,799,008.52/205,916.38
  6. Step 6: Final answer
    x = 98,471.03

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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.