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Finding the Fourth Proportional to 70,408, 97,139.12 and 40,171.60

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Solution

The fourth proportional to 70,408, 97,139.12 and 40,171.60 is: 55,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408 : 97,139.12 = 40,171.60 : x
  2. Step 2: Convert to fraction form
    70,408/97,139.12 = 40,171.60/x
  3. Step 3: Cross multiply
    70,408x = 97,139.12 × 40,171.60
  4. Step 4: Simplify right side
    70,408x = 3,902,233,872.99
  5. Step 5: Solve for x
    x = 3,902,233,872.99/70,408
  6. Step 6: Final answer
    x = 55,423.16

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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.