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Finding the Fourth Proportional to 109,201.29, 163,802 and 30,315.52

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Solution

The fourth proportional to 109,201.29, 163,802 and 30,315.52 is: 45,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201.29 : 163,802 = 30,315.52 : x
  2. Step 2: Convert to fraction form
    109,201.29/163,802 = 30,315.52/x
  3. Step 3: Cross multiply
    109,201.29x = 163,802 × 30,315.52
  4. Step 4: Simplify right side
    109,201.29x = 4,965,742,807.04
  5. Step 5: Solve for x
    x = 4,965,742,807.04/109,201.29
  6. Step 6: Final answer
    x = 45,473.30

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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.