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Finding the Fourth Proportional to 101,902.43, 152,804.45 and 42,722.21

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Solution

The fourth proportional to 101,902.43, 152,804.45 and 42,722.21 is: 64,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,902.43 : 152,804.45 = 42,722.21 : x
  2. Step 2: Convert to fraction form
    101,902.43/152,804.45 = 42,722.21/x
  3. Step 3: Cross multiply
    101,902.43x = 152,804.45 × 42,722.21
  4. Step 4: Simplify right side
    101,902.43x = 6,528,142,824.20
  5. Step 5: Solve for x
    x = 6,528,142,824.20/101,902.43
  6. Step 6: Final answer
    x = 64,062.68

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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.