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Finding the Fourth Proportional to 103,663.80, 155,456.82 and 44,469

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Solution

The fourth proportional to 103,663.80, 155,456.82 and 44,469 is: 66,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663.80 : 155,456.82 = 44,469 : x
  2. Step 2: Convert to fraction form
    103,663.80/155,456.82 = 44,469/x
  3. Step 3: Cross multiply
    103,663.80x = 155,456.82 × 44,469
  4. Step 4: Simplify right side
    103,663.80x = 6,913,009,328.58
  5. Step 5: Solve for x
    x = 6,913,009,328.58/103,663.80
  6. Step 6: Final answer
    x = 66,686.82

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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.