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Finding the Fourth Proportional to 125,803.28, 188,792.40 and 81,319.70

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Solution

The fourth proportional to 125,803.28, 188,792.40 and 81,319.70 is: 122,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,803.28 : 188,792.40 = 81,319.70 : x
  2. Step 2: Convert to fraction form
    125,803.28/188,792.40 = 81,319.70/x
  3. Step 3: Cross multiply
    125,803.28x = 188,792.40 × 81,319.70
  4. Step 4: Simplify right side
    125,803.28x = 15,352,540,386.32
  5. Step 5: Solve for x
    x = 15,352,540,386.32/125,803.28
  6. Step 6: Final answer
    x = 122,036.09

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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.