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Finding the Fourth Proportional to 106,651.44, 147,159.72 and 61,318.80

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Solution

The fourth proportional to 106,651.44, 147,159.72 and 61,318.80 is: 84,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,651.44 : 147,159.72 = 61,318.80 : x
  2. Step 2: Convert to fraction form
    106,651.44/147,159.72 = 61,318.80/x
  3. Step 3: Cross multiply
    106,651.44x = 147,159.72 × 61,318.80
  4. Step 4: Simplify right side
    106,651.44x = 9,023,657,438.74
  5. Step 5: Solve for x
    x = 9,023,657,438.74/106,651.44
  6. Step 6: Final answer
    x = 84,608.87

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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.