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Finding the Fourth Proportional to 221,657.17, 305,898.71 and 126,194.62

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Solution

The fourth proportional to 221,657.17, 305,898.71 and 126,194.62 is: 174,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,657.17 : 305,898.71 = 126,194.62 : x
  2. Step 2: Convert to fraction form
    221,657.17/305,898.71 = 126,194.62/x
  3. Step 3: Cross multiply
    221,657.17x = 305,898.71 × 126,194.62
  4. Step 4: Simplify right side
    221,657.17x = 38,602,771,466.94
  5. Step 5: Solve for x
    x = 38,602,771,466.94/221,657.17
  6. Step 6: Final answer
    x = 174,155.30

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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.