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Finding the Fourth Proportional to 75,378.39, 113,068.52 and 19,218.48

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Solution

The fourth proportional to 75,378.39, 113,068.52 and 19,218.48 is: 28,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378.39 : 113,068.52 = 19,218.48 : x
  2. Step 2: Convert to fraction form
    75,378.39/113,068.52 = 19,218.48/x
  3. Step 3: Cross multiply
    75,378.39x = 113,068.52 × 19,218.48
  4. Step 4: Simplify right side
    75,378.39x = 2,173,004,994.16
  5. Step 5: Solve for x
    x = 2,173,004,994.16/75,378.39
  6. Step 6: Final answer
    x = 28,827.96

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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.