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Finding the Fourth Proportional to 270,681.20, 405,983.40 and 83,711.60

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Solution

The fourth proportional to 270,681.20, 405,983.40 and 83,711.60 is: 125,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,681.20 : 405,983.40 = 83,711.60 : x
  2. Step 2: Convert to fraction form
    270,681.20/405,983.40 = 83,711.60/x
  3. Step 3: Cross multiply
    270,681.20x = 405,983.40 × 83,711.60
  4. Step 4: Simplify right side
    270,681.20x = 33,985,519,987.44
  5. Step 5: Solve for x
    x = 33,985,519,987.44/270,681.20
  6. Step 6: Final answer
    x = 125,555.52

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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.