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Finding the Fourth Proportional to 109,185.20, 163,864.20 and 42,657.20

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Solution

The fourth proportional to 109,185.20, 163,864.20 and 42,657.20 is: 64,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,185.20 : 163,864.20 = 42,657.20 : x
  2. Step 2: Convert to fraction form
    109,185.20/163,864.20 = 42,657.20/x
  3. Step 3: Cross multiply
    109,185.20x = 163,864.20 × 42,657.20
  4. Step 4: Simplify right side
    109,185.20x = 6,989,987,952.24
  5. Step 5: Solve for x
    x = 6,989,987,952.24/109,185.20
  6. Step 6: Final answer
    x = 64,019.56

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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.