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Finding the Fourth Proportional to 221,400, 305,501.16 and 125,896.12

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Solution

The fourth proportional to 221,400, 305,501.16 and 125,896.12 is: 173,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,400 : 305,501.16 = 125,896.12 : x
  2. Step 2: Convert to fraction form
    221,400/305,501.16 = 125,896.12/x
  3. Step 3: Cross multiply
    221,400x = 305,501.16 × 125,896.12
  4. Step 4: Simplify right side
    221,400x = 38,461,410,699.50
  5. Step 5: Solve for x
    x = 38,461,410,699.50/221,400
  6. Step 6: Final answer
    x = 173,719.11

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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.