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Finding the Fourth Proportional to 102,000, 140,773.20 and 57,288

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Solution

The fourth proportional to 102,000, 140,773.20 and 57,288 is: 79,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000 : 140,773.20 = 57,288 : x
  2. Step 2: Convert to fraction form
    102,000/140,773.20 = 57,288/x
  3. Step 3: Cross multiply
    102,000x = 140,773.20 × 57,288
  4. Step 4: Simplify right side
    102,000x = 8,064,615,081.60
  5. Step 5: Solve for x
    x = 8,064,615,081.60/102,000
  6. Step 6: Final answer
    x = 79,064.85

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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.