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Finding the Fourth Proportional to 109,246, 163,877.90 and 30,360.24

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Solution

The fourth proportional to 109,246, 163,877.90 and 30,360.24 is: 45,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,246 : 163,877.90 = 30,360.24 : x
  2. Step 2: Convert to fraction form
    109,246/163,877.90 = 30,360.24/x
  3. Step 3: Cross multiply
    109,246x = 163,877.90 × 30,360.24
  4. Step 4: Simplify right side
    109,246x = 4,975,372,374.70
  5. Step 5: Solve for x
    x = 4,975,372,374.70/109,246
  6. Step 6: Final answer
    x = 45,542.83

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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.