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Finding the Fourth Proportional to 97,861.20, 137,190 and 97,861.20

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Solution

The fourth proportional to 97,861.20, 137,190 and 97,861.20 is: 137,190

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,861.20 : 137,190 = 97,861.20 : x
  2. Step 2: Convert to fraction form
    97,861.20/137,190 = 97,861.20/x
  3. Step 3: Cross multiply
    97,861.20x = 137,190 × 97,861.20
  4. Step 4: Simplify right side
    97,861.20x = 13,425,578,028
  5. Step 5: Solve for x
    x = 13,425,578,028/97,861.20
  6. Step 6: Final answer
    x = 137,190

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.