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Finding the Fourth Proportional to 270,645.98, 405,854.96 and 81,133.52

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Solution

The fourth proportional to 270,645.98, 405,854.96 and 81,133.52 is: 121,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,645.98 : 405,854.96 = 81,133.52 : x
  2. Step 2: Convert to fraction form
    270,645.98/405,854.96 = 81,133.52/x
  3. Step 3: Cross multiply
    270,645.98x = 405,854.96 × 81,133.52
  4. Step 4: Simplify right side
    270,645.98x = 32,928,439,079.32
  5. Step 5: Solve for x
    x = 32,928,439,079.32/270,645.98
  6. Step 6: Final answer
    x = 121,666.10

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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.