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Finding the Fourth Proportional to 270,853.50, 406,184.41 and 78,687.95

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Solution

The fourth proportional to 270,853.50, 406,184.41 and 78,687.95 is: 118,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,853.50 : 406,184.41 = 78,687.95 : x
  2. Step 2: Convert to fraction form
    270,853.50/406,184.41 = 78,687.95/x
  3. Step 3: Cross multiply
    270,853.50x = 406,184.41 × 78,687.95
  4. Step 4: Simplify right side
    270,853.50x = 31,961,817,215.64
  5. Step 5: Solve for x
    x = 31,961,817,215.64/270,853.50
  6. Step 6: Final answer
    x = 118,004.08

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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.