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Finding the Fourth Proportional to 270,643.70, 405,965.55 and 83,654.90

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Solution

The fourth proportional to 270,643.70, 405,965.55 and 83,654.90 is: 125,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,643.70 : 405,965.55 = 83,654.90 : x
  2. Step 2: Convert to fraction form
    270,643.70/405,965.55 = 83,654.90/x
  3. Step 3: Cross multiply
    270,643.70x = 405,965.55 × 83,654.90
  4. Step 4: Simplify right side
    270,643.70x = 33,961,007,488.70
  5. Step 5: Solve for x
    x = 33,961,007,488.70/270,643.70
  6. Step 6: Final answer
    x = 125,482.35

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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.