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Finding the Fourth Proportional to 109,165.78, 163,748.66 and 30,280.01

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Solution

The fourth proportional to 109,165.78, 163,748.66 and 30,280.01 is: 45,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,165.78 : 163,748.66 = 30,280.01 : x
  2. Step 2: Convert to fraction form
    109,165.78/163,748.66 = 30,280.01/x
  3. Step 3: Cross multiply
    109,165.78x = 163,748.66 × 30,280.01
  4. Step 4: Simplify right side
    109,165.78x = 4,958,311,062.29
  5. Step 5: Solve for x
    x = 4,958,311,062.29/109,165.78
  6. Step 6: Final answer
    x = 45,420.01

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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.