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Finding the Fourth Proportional to 73,820.16, 101,870.40 and 40,286.40

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Solution

The fourth proportional to 73,820.16, 101,870.40 and 40,286.40 is: 55,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820.16 : 101,870.40 = 40,286.40 : x
  2. Step 2: Convert to fraction form
    73,820.16/101,870.40 = 40,286.40/x
  3. Step 3: Cross multiply
    73,820.16x = 101,870.40 × 40,286.40
  4. Step 4: Simplify right side
    73,820.16x = 4,103,991,682.56
  5. Step 5: Solve for x
    x = 4,103,991,682.56/73,820.16
  6. Step 6: Final answer
    x = 55,594.46

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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.