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Finding the Fourth Proportional to 137,102.76, 189,223.20 and 83,404.62

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Solution

The fourth proportional to 137,102.76, 189,223.20 and 83,404.62 is: 115,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,102.76 : 189,223.20 = 83,404.62 : x
  2. Step 2: Convert to fraction form
    137,102.76/189,223.20 = 83,404.62/x
  3. Step 3: Cross multiply
    137,102.76x = 189,223.20 × 83,404.62
  4. Step 4: Simplify right side
    137,102.76x = 15,782,089,091.18
  5. Step 5: Solve for x
    x = 15,782,089,091.18/137,102.76
  6. Step 6: Final answer
    x = 115,111.39

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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.