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Finding the Fourth Proportional to 109,184.94, 163,768 and 66,479.30

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Solution

The fourth proportional to 109,184.94, 163,768 and 66,479.30 is: 99,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,184.94 : 163,768 = 66,479.30 : x
  2. Step 2: Convert to fraction form
    109,184.94/163,768 = 66,479.30/x
  3. Step 3: Cross multiply
    109,184.94x = 163,768 × 66,479.30
  4. Step 4: Simplify right side
    109,184.94x = 10,887,182,002.40
  5. Step 5: Solve for x
    x = 10,887,182,002.40/109,184.94
  6. Step 6: Final answer
    x = 99,713.22

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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.