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Finding the Fourth Proportional to 221,058.54, 305,200.14 and 156,664.34

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Solution

The fourth proportional to 221,058.54, 305,200.14 and 156,664.34 is: 216,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,058.54 : 305,200.14 = 156,664.34 : x
  2. Step 2: Convert to fraction form
    221,058.54/305,200.14 = 156,664.34/x
  3. Step 3: Cross multiply
    221,058.54x = 305,200.14 × 156,664.34
  4. Step 4: Simplify right side
    221,058.54x = 47,813,978,501.01
  5. Step 5: Solve for x
    x = 47,813,978,501.01/221,058.54
  6. Step 6: Final answer
    x = 216,295.55

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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.