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Finding the Fourth Proportional to 64,098, 96,138.36 and 19,118.70

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Solution

The fourth proportional to 64,098, 96,138.36 and 19,118.70 is: 28,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098 : 96,138.36 = 19,118.70 : x
  2. Step 2: Convert to fraction form
    64,098/96,138.36 = 19,118.70/x
  3. Step 3: Cross multiply
    64,098x = 96,138.36 × 19,118.70
  4. Step 4: Simplify right side
    64,098x = 1,838,040,463.33
  5. Step 5: Solve for x
    x = 1,838,040,463.33/64,098
  6. Step 6: Final answer
    x = 28,675.47

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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.