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Finding the Fourth Proportional to 185,415.75, 278,164.98 and 78,803.07

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Solution

The fourth proportional to 185,415.75, 278,164.98 and 78,803.07 is: 118,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,415.75 : 278,164.98 = 78,803.07 : x
  2. Step 2: Convert to fraction form
    185,415.75/278,164.98 = 78,803.07/x
  3. Step 3: Cross multiply
    185,415.75x = 278,164.98 × 78,803.07
  4. Step 4: Simplify right side
    185,415.75x = 21,920,253,996.47
  5. Step 5: Solve for x
    x = 21,920,253,996.47/185,415.75
  6. Step 6: Final answer
    x = 118,222.18

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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.