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Finding the Fourth Proportional to 151,599.80, 209,208.60 and 83,619.20

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Solution

The fourth proportional to 151,599.80, 209,208.60 and 83,619.20 is: 115,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,599.80 : 209,208.60 = 83,619.20 : x
  2. Step 2: Convert to fraction form
    151,599.80/209,208.60 = 83,619.20/x
  3. Step 3: Cross multiply
    151,599.80x = 209,208.60 × 83,619.20
  4. Step 4: Simplify right side
    151,599.80x = 17,493,855,765.12
  5. Step 5: Solve for x
    x = 17,493,855,765.12/151,599.80
  6. Step 6: Final answer
    x = 115,394.98

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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.