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Finding the Fourth Proportional to 147,222.78, 220,837.80 and 53,728.50

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Solution

The fourth proportional to 147,222.78, 220,837.80 and 53,728.50 is: 80,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,222.78 : 220,837.80 = 53,728.50 : x
  2. Step 2: Convert to fraction form
    147,222.78/220,837.80 = 53,728.50/x
  3. Step 3: Cross multiply
    147,222.78x = 220,837.80 × 53,728.50
  4. Step 4: Simplify right side
    147,222.78x = 11,865,283,737.30
  5. Step 5: Solve for x
    x = 11,865,283,737.30/147,222.78
  6. Step 6: Final answer
    x = 80,594.07

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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.