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Finding the Fourth Proportional to 129,012.84, 178,027.89 and 72,413.28

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Solution

The fourth proportional to 129,012.84, 178,027.89 and 72,413.28 is: 99,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,012.84 : 178,027.89 = 72,413.28 : x
  2. Step 2: Convert to fraction form
    129,012.84/178,027.89 = 72,413.28/x
  3. Step 3: Cross multiply
    129,012.84x = 178,027.89 × 72,413.28
  4. Step 4: Simplify right side
    129,012.84x = 12,891,583,446.38
  5. Step 5: Solve for x
    x = 12,891,583,446.38/129,012.84
  6. Step 6: Final answer
    x = 99,924.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.