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Finding the Fourth Proportional to 102,827.76, 153,963.38 and 67,200.32

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Solution

The fourth proportional to 102,827.76, 153,963.38 and 67,200.32 is: 100,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,827.76 : 153,963.38 = 67,200.32 : x
  2. Step 2: Convert to fraction form
    102,827.76/153,963.38 = 67,200.32/x
  3. Step 3: Cross multiply
    102,827.76x = 153,963.38 × 67,200.32
  4. Step 4: Simplify right side
    102,827.76x = 10,346,388,404.28
  5. Step 5: Solve for x
    x = 10,346,388,404.28/102,827.76
  6. Step 6: Final answer
    x = 100,618.63

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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.