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Finding the Fourth Proportional to 221,298.48, 305,417.70 and 125,819.46

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Solution

The fourth proportional to 221,298.48, 305,417.70 and 125,819.46 is: 173,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,298.48 : 305,417.70 = 125,819.46 : x
  2. Step 2: Convert to fraction form
    221,298.48/305,417.70 = 125,819.46/x
  3. Step 3: Cross multiply
    221,298.48x = 305,417.70 × 125,819.46
  4. Step 4: Simplify right side
    221,298.48x = 38,427,490,088.44
  5. Step 5: Solve for x
    x = 38,427,490,088.44/221,298.48
  6. Step 6: Final answer
    x = 173,645.52

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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.