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Finding the Fourth Proportional to 221,214.92, 305,276.65 and 125,719.16

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Solution

The fourth proportional to 221,214.92, 305,276.65 and 125,719.16 is: 173,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,214.92 : 305,276.65 = 125,719.16 : x
  2. Step 2: Convert to fraction form
    221,214.92/305,276.65 = 125,719.16/x
  3. Step 3: Cross multiply
    221,214.92x = 305,276.65 × 125,719.16
  4. Step 4: Simplify right side
    221,214.92x = 38,379,122,164.93
  5. Step 5: Solve for x
    x = 38,379,122,164.93/221,214.92
  6. Step 6: Final answer
    x = 173,492.47

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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.