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Finding the Fourth Proportional to 65,013, 97,630.68 and 40,199.66

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Solution

The fourth proportional to 65,013, 97,630.68 and 40,199.66 is: 60,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013 : 97,630.68 = 40,199.66 : x
  2. Step 2: Convert to fraction form
    65,013/97,630.68 = 40,199.66/x
  3. Step 3: Cross multiply
    65,013x = 97,630.68 × 40,199.66
  4. Step 4: Simplify right side
    65,013x = 3,924,720,141.57
  5. Step 5: Solve for x
    x = 3,924,720,141.57/65,013
  6. Step 6: Final answer
    x = 60,368.24

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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.