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Finding the Fourth Proportional to 131,193.66, 181,040.85 and 74,603.82

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Solution

The fourth proportional to 131,193.66, 181,040.85 and 74,603.82 is: 102,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,193.66 : 181,040.85 = 74,603.82 : x
  2. Step 2: Convert to fraction form
    131,193.66/181,040.85 = 74,603.82/x
  3. Step 3: Cross multiply
    131,193.66x = 181,040.85 × 74,603.82
  4. Step 4: Simplify right side
    131,193.66x = 13,506,338,986.05
  5. Step 5: Solve for x
    x = 13,506,338,986.05/131,193.66
  6. Step 6: Final answer
    x = 102,949.63

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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.