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Finding the Fourth Proportional to 221,712, 305,970.18 and 121,116.48

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Solution

The fourth proportional to 221,712, 305,970.18 and 121,116.48 is: 167,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,712 : 305,970.18 = 121,116.48 : x
  2. Step 2: Convert to fraction form
    221,712/305,970.18 = 121,116.48/x
  3. Step 3: Cross multiply
    221,712x = 305,970.18 × 121,116.48
  4. Step 4: Simplify right side
    221,712x = 37,058,031,186.57
  5. Step 5: Solve for x
    x = 37,058,031,186.57/221,712
  6. Step 6: Final answer
    x = 167,144.91

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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.