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Finding the Fourth Proportional to 147,625.92, 221,405.76 and 42,421.44

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Solution

The fourth proportional to 147,625.92, 221,405.76 and 42,421.44 is: 63,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,625.92 : 221,405.76 = 42,421.44 : x
  2. Step 2: Convert to fraction form
    147,625.92/221,405.76 = 42,421.44/x
  3. Step 3: Cross multiply
    147,625.92x = 221,405.76 × 42,421.44
  4. Step 4: Simplify right side
    147,625.92x = 9,392,351,163.49
  5. Step 5: Solve for x
    x = 9,392,351,163.49/147,625.92
  6. Step 6: Final answer
    x = 63,622.64

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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.