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Finding the Fourth Proportional to 147,818.54, 203,989.79 and 84,156.34

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Solution

The fourth proportional to 147,818.54, 203,989.79 and 84,156.34 is: 116,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,818.54 : 203,989.79 = 84,156.34 : x
  2. Step 2: Convert to fraction form
    147,818.54/203,989.79 = 84,156.34/x
  3. Step 3: Cross multiply
    147,818.54x = 203,989.79 × 84,156.34
  4. Step 4: Simplify right side
    147,818.54x = 17,167,034,123.77
  5. Step 5: Solve for x
    x = 17,167,034,123.77/147,818.54
  6. Step 6: Final answer
    x = 116,135.87

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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.