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Finding the Fourth Proportional to 125,231.81, 172,837.62 and 77,500.54

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Solution

The fourth proportional to 125,231.81, 172,837.62 and 77,500.54 is: 106,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,231.81 : 172,837.62 = 77,500.54 : x
  2. Step 2: Convert to fraction form
    125,231.81/172,837.62 = 77,500.54/x
  3. Step 3: Cross multiply
    125,231.81x = 172,837.62 × 77,500.54
  4. Step 4: Simplify right side
    125,231.81x = 13,395,007,630.62
  5. Step 5: Solve for x
    x = 13,395,007,630.62/125,231.81
  6. Step 6: Final answer
    x = 106,961.70

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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.