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Finding the Fourth Proportional to 160,678.68, 221,736 and 89,058

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Solution

The fourth proportional to 160,678.68, 221,736 and 89,058 is: 122,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,678.68 : 221,736 = 89,058 : x
  2. Step 2: Convert to fraction form
    160,678.68/221,736 = 89,058/x
  3. Step 3: Cross multiply
    160,678.68x = 221,736 × 89,058
  4. Step 4: Simplify right side
    160,678.68x = 19,747,364,688
  5. Step 5: Solve for x
    x = 19,747,364,688/160,678.68
  6. Step 6: Final answer
    x = 122,899.72

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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.