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Finding the Fourth Proportional to 65,438.70, 97,964.11 and 40,398.22

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Solution

The fourth proportional to 65,438.70, 97,964.11 and 40,398.22 is: 60,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,438.70 : 97,964.11 = 40,398.22 : x
  2. Step 2: Convert to fraction form
    65,438.70/97,964.11 = 40,398.22/x
  3. Step 3: Cross multiply
    65,438.70x = 97,964.11 × 40,398.22
  4. Step 4: Simplify right side
    65,438.70x = 3,957,575,667.88
  5. Step 5: Solve for x
    x = 3,957,575,667.88/65,438.70
  6. Step 6: Final answer
    x = 60,477.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.