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Finding the Fourth Proportional to 113,991, 157,307.64 and 63,690

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Solution

The fourth proportional to 113,991, 157,307.64 and 63,690 is: 87,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,991 : 157,307.64 = 63,690 : x
  2. Step 2: Convert to fraction form
    113,991/157,307.64 = 63,690/x
  3. Step 3: Cross multiply
    113,991x = 157,307.64 × 63,690
  4. Step 4: Simplify right side
    113,991x = 10,018,923,591.60
  5. Step 5: Solve for x
    x = 10,018,923,591.60/113,991
  6. Step 6: Final answer
    x = 87,892.23

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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.