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Finding the Fourth Proportional to 73,835.80, 101,895.78 and 40,301.80

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Solution

The fourth proportional to 73,835.80, 101,895.78 and 40,301.80 is: 55,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,835.80 : 101,895.78 = 40,301.80 : x
  2. Step 2: Convert to fraction form
    73,835.80/101,895.78 = 40,301.80/x
  3. Step 3: Cross multiply
    73,835.80x = 101,895.78 × 40,301.80
  4. Step 4: Simplify right side
    73,835.80x = 4,106,583,346.40
  5. Step 5: Solve for x
    x = 4,106,583,346.40/73,835.80
  6. Step 6: Final answer
    x = 55,617.78

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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.