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Finding the Fourth Proportional to 252,094.40, 378,141.60 and 74,628.80

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Solution

The fourth proportional to 252,094.40, 378,141.60 and 74,628.80 is: 111,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,094.40 : 378,141.60 = 74,628.80 : x
  2. Step 2: Convert to fraction form
    252,094.40/378,141.60 = 74,628.80/x
  3. Step 3: Cross multiply
    252,094.40x = 378,141.60 × 74,628.80
  4. Step 4: Simplify right side
    252,094.40x = 28,220,253,838.08
  5. Step 5: Solve for x
    x = 28,220,253,838.08/252,094.40
  6. Step 6: Final answer
    x = 111,943.20

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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.