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Finding the Fourth Proportional to 137,290.78, 206,251.21 and 97,408.10

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Solution

The fourth proportional to 137,290.78, 206,251.21 and 97,408.10 is: 146,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,290.78 : 206,251.21 = 97,408.10 : x
  2. Step 2: Convert to fraction form
    137,290.78/206,251.21 = 97,408.10/x
  3. Step 3: Cross multiply
    137,290.78x = 206,251.21 × 97,408.10
  4. Step 4: Simplify right side
    137,290.78x = 20,090,539,126.19
  5. Step 5: Solve for x
    x = 20,090,539,126.19/137,290.78
  6. Step 6: Final answer
    x = 146,335.67

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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.