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Finding the Fourth Proportional to 109,201.64, 163,827.02 and 42,660.74

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Solution

The fourth proportional to 109,201.64, 163,827.02 and 42,660.74 is: 64,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201.64 : 163,827.02 = 42,660.74 : x
  2. Step 2: Convert to fraction form
    109,201.64/163,827.02 = 42,660.74/x
  3. Step 3: Cross multiply
    109,201.64x = 163,827.02 × 42,660.74
  4. Step 4: Simplify right side
    109,201.64x = 6,988,982,421.41
  5. Step 5: Solve for x
    x = 6,988,982,421.41/109,201.64
  6. Step 6: Final answer
    x = 64,000.71

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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.