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Finding the Fourth Proportional to 147,878.63, 221,836.32 and 57,909.72

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Solution

The fourth proportional to 147,878.63, 221,836.32 and 57,909.72 is: 86,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,878.63 : 221,836.32 = 57,909.72 : x
  2. Step 2: Convert to fraction form
    147,878.63/221,836.32 = 57,909.72/x
  3. Step 3: Cross multiply
    147,878.63x = 221,836.32 × 57,909.72
  4. Step 4: Simplify right side
    147,878.63x = 12,846,479,177.03
  5. Step 5: Solve for x
    x = 12,846,479,177.03/147,878.63
  6. Step 6: Final answer
    x = 86,871.78

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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.