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Finding the Fourth Proportional to 253,418.74, 380,084.32 and 75,878.08

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Solution

The fourth proportional to 253,418.74, 380,084.32 and 75,878.08 is: 113,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,418.74 : 380,084.32 = 75,878.08 : x
  2. Step 2: Convert to fraction form
    253,418.74/380,084.32 = 75,878.08/x
  3. Step 3: Cross multiply
    253,418.74x = 380,084.32 × 75,878.08
  4. Step 4: Simplify right side
    253,418.74x = 28,840,068,439.71
  5. Step 5: Solve for x
    x = 28,840,068,439.71/253,418.74
  6. Step 6: Final answer
    x = 113,804.01

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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.