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Finding the Fourth Proportional to 64,076.81, 96,117.83 and 21,985.83

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Solution

The fourth proportional to 64,076.81, 96,117.83 and 21,985.83 is: 32,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,076.81 : 96,117.83 = 21,985.83 : x
  2. Step 2: Convert to fraction form
    64,076.81/96,117.83 = 21,985.83/x
  3. Step 3: Cross multiply
    64,076.81x = 96,117.83 × 21,985.83
  4. Step 4: Simplify right side
    64,076.81x = 2,113,230,160.42
  5. Step 5: Solve for x
    x = 2,113,230,160.42/64,076.81
  6. Step 6: Final answer
    x = 32,979.64

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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.