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Finding the Fourth Proportional to 64,105.78, 96,148.35 and 21,984.16

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Solution

The fourth proportional to 64,105.78, 96,148.35 and 21,984.16 is: 32,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,105.78 : 96,148.35 = 21,984.16 : x
  2. Step 2: Convert to fraction form
    64,105.78/96,148.35 = 21,984.16/x
  3. Step 3: Cross multiply
    64,105.78x = 96,148.35 × 21,984.16
  4. Step 4: Simplify right side
    64,105.78x = 2,113,740,710.14
  5. Step 5: Solve for x
    x = 2,113,740,710.14/64,105.78
  6. Step 6: Final answer
    x = 32,972.70

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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.