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Finding the Fourth Proportional to 75,435, 113,152.50 and 19,275.24

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Solution

The fourth proportional to 75,435, 113,152.50 and 19,275.24 is: 28,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435 : 113,152.50 = 19,275.24 : x
  2. Step 2: Convert to fraction form
    75,435/113,152.50 = 19,275.24/x
  3. Step 3: Cross multiply
    75,435x = 113,152.50 × 19,275.24
  4. Step 4: Simplify right side
    75,435x = 2,181,041,594.10
  5. Step 5: Solve for x
    x = 2,181,041,594.10/75,435
  6. Step 6: Final answer
    x = 28,912.86

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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.