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Finding the Fourth Proportional to 84,122.88, 116,076.42 and 48,307.92

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Solution

The fourth proportional to 84,122.88, 116,076.42 and 48,307.92 is: 66,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,122.88 : 116,076.42 = 48,307.92 : x
  2. Step 2: Convert to fraction form
    84,122.88/116,076.42 = 48,307.92/x
  3. Step 3: Cross multiply
    84,122.88x = 116,076.42 × 48,307.92
  4. Step 4: Simplify right side
    84,122.88x = 5,607,410,411.25
  5. Step 5: Solve for x
    x = 5,607,410,411.25/84,122.88
  6. Step 6: Final answer
    x = 66,657.38

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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.