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Finding the Fourth Proportional to 113,993, 157,310.40 and 63,692

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Solution

The fourth proportional to 113,993, 157,310.40 and 63,692 is: 87,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,993 : 157,310.40 = 63,692 : x
  2. Step 2: Convert to fraction form
    113,993/157,310.40 = 63,692/x
  3. Step 3: Cross multiply
    113,993x = 157,310.40 × 63,692
  4. Step 4: Simplify right side
    113,993x = 10,019,413,996.80
  5. Step 5: Solve for x
    x = 10,019,413,996.80/113,993
  6. Step 6: Final answer
    x = 87,894.99

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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.