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Finding the Fourth Proportional to 192,464.32, 288,624.66 and 66,068.74

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Solution

The fourth proportional to 192,464.32, 288,624.66 and 66,068.74 is: 99,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464.32 : 288,624.66 = 66,068.74 : x
  2. Step 2: Convert to fraction form
    192,464.32/288,624.66 = 66,068.74/x
  3. Step 3: Cross multiply
    192,464.32x = 288,624.66 × 66,068.74
  4. Step 4: Simplify right side
    192,464.32x = 19,069,067,619.13
  5. Step 5: Solve for x
    x = 19,069,067,619.13/192,464.32
  6. Step 6: Final answer
    x = 99,078.46

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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.