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Finding the Fourth Proportional to 122,943.70, 183,978.15 and 85,327.30

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Solution

The fourth proportional to 122,943.70, 183,978.15 and 85,327.30 is: 127,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,943.70 : 183,978.15 = 85,327.30 : x
  2. Step 2: Convert to fraction form
    122,943.70/183,978.15 = 85,327.30/x
  3. Step 3: Cross multiply
    122,943.70x = 183,978.15 × 85,327.30
  4. Step 4: Simplify right side
    122,943.70x = 15,698,358,798.50
  5. Step 5: Solve for x
    x = 15,698,358,798.50/122,943.70
  6. Step 6: Final answer
    x = 127,687.38

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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.