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Finding the Fourth Proportional to 106,797.78, 160,191.12 and 31,918.53

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Solution

The fourth proportional to 106,797.78, 160,191.12 and 31,918.53 is: 47,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,797.78 : 160,191.12 = 31,918.53 : x
  2. Step 2: Convert to fraction form
    106,797.78/160,191.12 = 31,918.53/x
  3. Step 3: Cross multiply
    106,797.78x = 160,191.12 × 31,918.53
  4. Step 4: Simplify right side
    106,797.78x = 5,113,065,069.45
  5. Step 5: Solve for x
    x = 5,113,065,069.45/106,797.78
  6. Step 6: Final answer
    x = 47,876.14

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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.