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Finding the Fourth Proportional to 106,322.40, 146,777.40 and 72,506.52

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Solution

The fourth proportional to 106,322.40, 146,777.40 and 72,506.52 is: 100,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.40 : 146,777.40 = 72,506.52 : x
  2. Step 2: Convert to fraction form
    106,322.40/146,777.40 = 72,506.52/x
  3. Step 3: Cross multiply
    106,322.40x = 146,777.40 × 72,506.52
  4. Step 4: Simplify right side
    106,322.40x = 10,642,318,488.65
  5. Step 5: Solve for x
    x = 10,642,318,488.65/106,322.40
  6. Step 6: Final answer
    x = 100,094.79

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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.