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Finding the Fourth Proportional to 106,471.72, 159,445.14 and 66,930.76

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Solution

The fourth proportional to 106,471.72, 159,445.14 and 66,930.76 is: 100,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,471.72 : 159,445.14 = 66,930.76 : x
  2. Step 2: Convert to fraction form
    106,471.72/159,445.14 = 66,930.76/x
  3. Step 3: Cross multiply
    106,471.72x = 159,445.14 × 66,930.76
  4. Step 4: Simplify right side
    106,471.72x = 10,671,784,398.51
  5. Step 5: Solve for x
    x = 10,671,784,398.51/106,471.72
  6. Step 6: Final answer
    x = 100,231.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.