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Finding the Fourth Proportional to 147,889.32, 221,845.32 and 42,709.20

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Solution

The fourth proportional to 147,889.32, 221,845.32 and 42,709.20 is: 64,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,889.32 : 221,845.32 = 42,709.20 : x
  2. Step 2: Convert to fraction form
    147,889.32/221,845.32 = 42,709.20/x
  3. Step 3: Cross multiply
    147,889.32x = 221,845.32 × 42,709.20
  4. Step 4: Simplify right side
    147,889.32x = 9,474,836,140.94
  5. Step 5: Solve for x
    x = 9,474,836,140.94/147,889.32
  6. Step 6: Final answer
    x = 64,067.07

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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.