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Finding the Fourth Proportional to 151,471.58, 209,039.91 and 83,488.46

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Solution

The fourth proportional to 151,471.58, 209,039.91 and 83,488.46 is: 115,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,471.58 : 209,039.91 = 83,488.46 : x
  2. Step 2: Convert to fraction form
    151,471.58/209,039.91 = 83,488.46/x
  3. Step 3: Cross multiply
    151,471.58x = 209,039.91 × 83,488.46
  4. Step 4: Simplify right side
    151,471.58x = 17,452,420,164.44
  5. Step 5: Solve for x
    x = 17,452,420,164.44/151,471.58
  6. Step 6: Final answer
    x = 115,219.11

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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.