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Finding the Fourth Proportional to 157,243.50, 216,942.06 and 89,255.34

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Solution

The fourth proportional to 157,243.50, 216,942.06 and 89,255.34 is: 123,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,243.50 : 216,942.06 = 89,255.34 : x
  2. Step 2: Convert to fraction form
    157,243.50/216,942.06 = 89,255.34/x
  3. Step 3: Cross multiply
    157,243.50x = 216,942.06 × 89,255.34
  4. Step 4: Simplify right side
    157,243.50x = 19,363,237,325.60
  5. Step 5: Solve for x
    x = 19,363,237,325.60/157,243.50
  6. Step 6: Final answer
    x = 123,141.73

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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.