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Finding the Fourth Proportional to 102,052.67, 140,783.61 and 66,253.91

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Solution

The fourth proportional to 102,052.67, 140,783.61 and 66,253.91 is: 91,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052.67 : 140,783.61 = 66,253.91 : x
  2. Step 2: Convert to fraction form
    102,052.67/140,783.61 = 66,253.91/x
  3. Step 3: Cross multiply
    102,052.67x = 140,783.61 × 66,253.91
  4. Step 4: Simplify right side
    102,052.67x = 9,327,463,922.50
  5. Step 5: Solve for x
    x = 9,327,463,922.50/102,052.67
  6. Step 6: Final answer
    x = 91,398.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.