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Finding the Fourth Proportional to 159,948.40, 239,780.01 and 81,022

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Solution

The fourth proportional to 159,948.40, 239,780.01 and 81,022 is: 121,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,948.40 : 239,780.01 = 81,022 : x
  2. Step 2: Convert to fraction form
    159,948.40/239,780.01 = 81,022/x
  3. Step 3: Cross multiply
    159,948.40x = 239,780.01 × 81,022
  4. Step 4: Simplify right side
    159,948.40x = 19,427,455,970.22
  5. Step 5: Solve for x
    x = 19,427,455,970.22/159,948.40
  6. Step 6: Final answer
    x = 121,460.77

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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.