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Finding the Fourth Proportional to 103,780.80, 155,811.20 and 66,413.88

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Solution

The fourth proportional to 103,780.80, 155,811.20 and 66,413.88 is: 99,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,780.80 : 155,811.20 = 66,413.88 : x
  2. Step 2: Convert to fraction form
    103,780.80/155,811.20 = 66,413.88/x
  3. Step 3: Cross multiply
    103,780.80x = 155,811.20 × 66,413.88
  4. Step 4: Simplify right side
    103,780.80x = 10,348,026,007.39
  5. Step 5: Solve for x
    x = 10,348,026,007.39/103,780.80
  6. Step 6: Final answer
    x = 99,710.41

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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.