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Finding the Fourth Proportional to 103,195.88, 142,402.02 and 57,257

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Solution

The fourth proportional to 103,195.88, 142,402.02 and 57,257 is: 79,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,195.88 : 142,402.02 = 57,257 : x
  2. Step 2: Convert to fraction form
    103,195.88/142,402.02 = 57,257/x
  3. Step 3: Cross multiply
    103,195.88x = 142,402.02 × 57,257
  4. Step 4: Simplify right side
    103,195.88x = 8,153,512,172.86
  5. Step 5: Solve for x
    x = 8,153,512,172.86/103,195.88
  6. Step 6: Final answer
    x = 79,010.06

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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.