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Finding the Fourth Proportional to 221,410, 305,544.18 and 125,916.58

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Solution

The fourth proportional to 221,410, 305,544.18 and 125,916.58 is: 173,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,410 : 305,544.18 = 125,916.58 : x
  2. Step 2: Convert to fraction form
    221,410/305,544.18 = 125,916.58/x
  3. Step 3: Cross multiply
    221,410x = 305,544.18 × 125,916.58
  4. Step 4: Simplify right side
    221,410x = 38,473,078,184.50
  5. Step 5: Solve for x
    x = 38,473,078,184.50/221,410
  6. Step 6: Final answer
    x = 173,763.96

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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.