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Finding the Fourth Proportional to 64,983.81, 97,253.92 and 54,465.70

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Solution

The fourth proportional to 64,983.81, 97,253.92 and 54,465.70 is: 81,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983.81 : 97,253.92 = 54,465.70 : x
  2. Step 2: Convert to fraction form
    64,983.81/97,253.92 = 54,465.70/x
  3. Step 3: Cross multiply
    64,983.81x = 97,253.92 × 54,465.70
  4. Step 4: Simplify right side
    64,983.81x = 5,297,002,830.54
  5. Step 5: Solve for x
    x = 5,297,002,830.54/64,983.81
  6. Step 6: Final answer
    x = 81,512.65

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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.