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Finding the Fourth Proportional to 102,130.74, 140,940.42 and 57,418.74

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Solution

The fourth proportional to 102,130.74, 140,940.42 and 57,418.74 is: 79,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.74 : 140,940.42 = 57,418.74 : x
  2. Step 2: Convert to fraction form
    102,130.74/140,940.42 = 57,418.74/x
  3. Step 3: Cross multiply
    102,130.74x = 140,940.42 × 57,418.74
  4. Step 4: Simplify right side
    102,130.74x = 8,092,621,116.15
  5. Step 5: Solve for x
    x = 8,092,621,116.15/102,130.74
  6. Step 6: Final answer
    x = 79,237.86

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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.