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Finding the Fourth Proportional to 221,407.51, 305,545.89 and 120,805.51

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Solution

The fourth proportional to 221,407.51, 305,545.89 and 120,805.51 is: 166,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,407.51 : 305,545.89 = 120,805.51 : x
  2. Step 2: Convert to fraction form
    221,407.51/305,545.89 = 120,805.51/x
  3. Step 3: Cross multiply
    221,407.51x = 305,545.89 × 120,805.51
  4. Step 4: Simplify right side
    221,407.51x = 36,911,627,069.85
  5. Step 5: Solve for x
    x = 36,911,627,069.85/221,407.51
  6. Step 6: Final answer
    x = 166,713.53

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1.5x scale

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.