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Finding the Fourth Proportional to 159,096.96, 219,587.19 and 100,916.07

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Solution

The fourth proportional to 159,096.96, 219,587.19 and 100,916.07 is: 139,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,096.96 : 219,587.19 = 100,916.07 : x
  2. Step 2: Convert to fraction form
    159,096.96/219,587.19 = 100,916.07/x
  3. Step 3: Cross multiply
    159,096.96x = 219,587.19 × 100,916.07
  4. Step 4: Simplify right side
    159,096.96x = 22,159,876,237.14
  5. Step 5: Solve for x
    x = 22,159,876,237.14/159,096.96
  6. Step 6: Final answer
    x = 139,285.35

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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.