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Finding the Fourth Proportional to 101,578.10, 152,393.07 and 64,402.34

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Solution

The fourth proportional to 101,578.10, 152,393.07 and 64,402.34 is: 96,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,578.10 : 152,393.07 = 64,402.34 : x
  2. Step 2: Convert to fraction form
    101,578.10/152,393.07 = 64,402.34/x
  3. Step 3: Cross multiply
    101,578.10x = 152,393.07 × 64,402.34
  4. Step 4: Simplify right side
    101,578.10x = 9,814,469,545.82
  5. Step 5: Solve for x
    x = 9,814,469,545.82/101,578.10
  6. Step 6: Final answer
    x = 96,619.94

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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.