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Finding the Fourth Proportional to 172,110.39, 258,076.50 and 77,258.90

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Solution

The fourth proportional to 172,110.39, 258,076.50 and 77,258.90 is: 115,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,110.39 : 258,076.50 = 77,258.90 : x
  2. Step 2: Convert to fraction form
    172,110.39/258,076.50 = 77,258.90/x
  3. Step 3: Cross multiply
    172,110.39x = 258,076.50 × 77,258.90
  4. Step 4: Simplify right side
    172,110.39x = 19,938,706,505.85
  5. Step 5: Solve for x
    x = 19,938,706,505.85/172,110.39
  6. Step 6: Final answer
    x = 115,848.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.