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Finding the Fourth Proportional to 160,859.84, 221,976.56 and 89,238.40

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Solution

The fourth proportional to 160,859.84, 221,976.56 and 89,238.40 is: 123,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,859.84 : 221,976.56 = 89,238.40 : x
  2. Step 2: Convert to fraction form
    160,859.84/221,976.56 = 89,238.40/x
  3. Step 3: Cross multiply
    160,859.84x = 221,976.56 × 89,238.40
  4. Step 4: Simplify right side
    160,859.84x = 19,808,833,051.90
  5. Step 5: Solve for x
    x = 19,808,833,051.90/160,859.84
  6. Step 6: Final answer
    x = 123,143.43

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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.