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Finding the Fourth Proportional to 71,885.42, 99,202.28 and 41,688.65

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Solution

The fourth proportional to 71,885.42, 99,202.28 and 41,688.65 is: 57,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,885.42 : 99,202.28 = 41,688.65 : x
  2. Step 2: Convert to fraction form
    71,885.42/99,202.28 = 41,688.65/x
  3. Step 3: Cross multiply
    71,885.42x = 99,202.28 × 41,688.65
  4. Step 4: Simplify right side
    71,885.42x = 4,135,609,482.35
  5. Step 5: Solve for x
    x = 4,135,609,482.35/71,885.42
  6. Step 6: Final answer
    x = 57,530.57

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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.