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Finding the Fourth Proportional to 120,390.49, 179,853.62 and 77,924.62

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Solution

The fourth proportional to 120,390.49, 179,853.62 and 77,924.62 is: 116,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,390.49 : 179,853.62 = 77,924.62 : x
  2. Step 2: Convert to fraction form
    120,390.49/179,853.62 = 77,924.62/x
  3. Step 3: Cross multiply
    120,390.49x = 179,853.62 × 77,924.62
  4. Step 4: Simplify right side
    120,390.49x = 14,015,024,994.12
  5. Step 5: Solve for x
    x = 14,015,024,994.12/120,390.49
  6. Step 6: Final answer
    x = 116,413.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.