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Finding the Fourth Proportional to 70,342.57, 97,082 and 40,120.96

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Solution

The fourth proportional to 70,342.57, 97,082 and 40,120.96 is: 55,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,342.57 : 97,082 = 40,120.96 : x
  2. Step 2: Convert to fraction form
    70,342.57/97,082 = 40,120.96/x
  3. Step 3: Cross multiply
    70,342.57x = 97,082 × 40,120.96
  4. Step 4: Simplify right side
    70,342.57x = 3,895,023,038.72
  5. Step 5: Solve for x
    x = 3,895,023,038.72/70,342.57
  6. Step 6: Final answer
    x = 55,372.20

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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.