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Finding the Fourth Proportional to 117,816.40, 176,377.40 and 77,761.50

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Solution

The fourth proportional to 117,816.40, 176,377.40 and 77,761.50 is: 116,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,816.40 : 176,377.40 = 77,761.50 : x
  2. Step 2: Convert to fraction form
    117,816.40/176,377.40 = 77,761.50/x
  3. Step 3: Cross multiply
    117,816.40x = 176,377.40 × 77,761.50
  4. Step 4: Simplify right side
    117,816.40x = 13,715,371,190.10
  5. Step 5: Solve for x
    x = 13,715,371,190.10/117,816.40
  6. Step 6: Final answer
    x = 116,413.09

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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.