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Finding the Fourth Proportional to 101,628.72, 152,418.58 and 42,432.30

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Solution

The fourth proportional to 101,628.72, 152,418.58 and 42,432.30 is: 63,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,628.72 : 152,418.58 = 42,432.30 : x
  2. Step 2: Convert to fraction form
    101,628.72/152,418.58 = 42,432.30/x
  3. Step 3: Cross multiply
    101,628.72x = 152,418.58 × 42,432.30
  4. Step 4: Simplify right side
    101,628.72x = 6,467,470,806.05
  5. Step 5: Solve for x
    x = 6,467,470,806.05/101,628.72
  6. Step 6: Final answer
    x = 63,638.22

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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.