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Finding the Fourth Proportional to 125,602.64, 188,563.83 and 81,414.30

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Solution

The fourth proportional to 125,602.64, 188,563.83 and 81,414.30 is: 122,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,602.64 : 188,563.83 = 81,414.30 : x
  2. Step 2: Convert to fraction form
    125,602.64/188,563.83 = 81,414.30/x
  3. Step 3: Cross multiply
    125,602.64x = 188,563.83 × 81,414.30
  4. Step 4: Simplify right side
    125,602.64x = 15,351,792,224.77
  5. Step 5: Solve for x
    x = 15,351,792,224.77/125,602.64
  6. Step 6: Final answer
    x = 122,225.08

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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.