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Finding the Fourth Proportional to 67,838.56, 101,732.28 and 28,398.40

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Solution

The fourth proportional to 67,838.56, 101,732.28 and 28,398.40 is: 42,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,838.56 : 101,732.28 = 28,398.40 : x
  2. Step 2: Convert to fraction form
    67,838.56/101,732.28 = 28,398.40/x
  3. Step 3: Cross multiply
    67,838.56x = 101,732.28 × 28,398.40
  4. Step 4: Simplify right side
    67,838.56x = 2,889,033,980.35
  5. Step 5: Solve for x
    x = 2,889,033,980.35/67,838.56
  6. Step 6: Final answer
    x = 42,586.90

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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.