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Finding the Fourth Proportional to 137,645.40, 189,749.60 and 97,287.96

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Solution

The fourth proportional to 137,645.40, 189,749.60 and 97,287.96 is: 134,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,645.40 : 189,749.60 = 97,287.96 : x
  2. Step 2: Convert to fraction form
    137,645.40/189,749.60 = 97,287.96/x
  3. Step 3: Cross multiply
    137,645.40x = 189,749.60 × 97,287.96
  4. Step 4: Simplify right side
    137,645.40x = 18,460,351,494.82
  5. Step 5: Solve for x
    x = 18,460,351,494.82/137,645.40
  6. Step 6: Final answer
    x = 134,115.28

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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.