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Finding the Fourth Proportional to 150,006.78, 225,072.30 and 65,723.40

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Solution

The fourth proportional to 150,006.78, 225,072.30 and 65,723.40 is: 98,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,006.78 : 225,072.30 = 65,723.40 : x
  2. Step 2: Convert to fraction form
    150,006.78/225,072.30 = 65,723.40/x
  3. Step 3: Cross multiply
    150,006.78x = 225,072.30 × 65,723.40
  4. Step 4: Simplify right side
    150,006.78x = 14,792,516,801.82
  5. Step 5: Solve for x
    x = 14,792,516,801.82/150,006.78
  6. Step 6: Final answer
    x = 98,612.32

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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.