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Finding the Fourth Proportional to 137,071.53, 189,192.96 and 109,740.92

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Solution

The fourth proportional to 137,071.53, 189,192.96 and 109,740.92 is: 151,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,071.53 : 189,192.96 = 109,740.92 : x
  2. Step 2: Convert to fraction form
    137,071.53/189,192.96 = 109,740.92/x
  3. Step 3: Cross multiply
    137,071.53x = 189,192.96 × 109,740.92
  4. Step 4: Simplify right side
    137,071.53x = 20,762,208,541.96
  5. Step 5: Solve for x
    x = 20,762,208,541.96/137,071.53
  6. Step 6: Final answer
    x = 151,469.88

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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.