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Finding the Fourth Proportional to 221,064, 305,058.48 and 125,569.28

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Solution

The fourth proportional to 221,064, 305,058.48 and 125,569.28 is: 173,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,064 : 305,058.48 = 125,569.28 : x
  2. Step 2: Convert to fraction form
    221,064/305,058.48 = 125,569.28/x
  3. Step 3: Cross multiply
    221,064x = 305,058.48 × 125,569.28
  4. Step 4: Simplify right side
    221,064x = 38,305,973,691.49
  5. Step 5: Solve for x
    x = 38,305,973,691.49/221,064
  6. Step 6: Final answer
    x = 173,280.02

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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.