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Finding the Fourth Proportional to 159,805.60, 220,438.68 and 102,424.51

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Solution

The fourth proportional to 159,805.60, 220,438.68 and 102,424.51 is: 141,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,805.60 : 220,438.68 = 102,424.51 : x
  2. Step 2: Convert to fraction form
    159,805.60/220,438.68 = 102,424.51/x
  3. Step 3: Cross multiply
    159,805.60x = 220,438.68 × 102,424.51
  4. Step 4: Simplify right side
    159,805.60x = 22,578,323,784.05
  5. Step 5: Solve for x
    x = 22,578,323,784.05/159,805.60
  6. Step 6: Final answer
    x = 141,286.19

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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.