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Finding the Fourth Proportional to 109,382.40, 163,976.40 and 42,800.40

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Solution

The fourth proportional to 109,382.40, 163,976.40 and 42,800.40 is: 64,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.40 : 163,976.40 = 42,800.40 : x
  2. Step 2: Convert to fraction form
    109,382.40/163,976.40 = 42,800.40/x
  3. Step 3: Cross multiply
    109,382.40x = 163,976.40 × 42,800.40
  4. Step 4: Simplify right side
    109,382.40x = 7,018,255,510.56
  5. Step 5: Solve for x
    x = 7,018,255,510.56/109,382.40
  6. Step 6: Final answer
    x = 64,162.57

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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.