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Finding the Fourth Proportional to 64,104.78, 96,146.85 and 21,983.16

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Solution

The fourth proportional to 64,104.78, 96,146.85 and 21,983.16 is: 32,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,104.78 : 96,146.85 = 21,983.16 : x
  2. Step 2: Convert to fraction form
    64,104.78/96,146.85 = 21,983.16/x
  3. Step 3: Cross multiply
    64,104.78x = 96,146.85 × 21,983.16
  4. Step 4: Simplify right side
    64,104.78x = 2,113,611,587.05
  5. Step 5: Solve for x
    x = 2,113,611,587.05/64,104.78
  6. Step 6: Final answer
    x = 32,971.20

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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.