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Finding the Fourth Proportional to 102,132, 140,942.16 and 57,420

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Solution

The fourth proportional to 102,132, 140,942.16 and 57,420 is: 79,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132 : 140,942.16 = 57,420 : x
  2. Step 2: Convert to fraction form
    102,132/140,942.16 = 57,420/x
  3. Step 3: Cross multiply
    102,132x = 140,942.16 × 57,420
  4. Step 4: Simplify right side
    102,132x = 8,092,898,827.20
  5. Step 5: Solve for x
    x = 8,092,898,827.20/102,132
  6. Step 6: Final answer
    x = 79,239.60

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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.