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Finding the Fourth Proportional to 160,656.40, 221,702.42 and 89,035.80

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Solution

The fourth proportional to 160,656.40, 221,702.42 and 89,035.80 is: 122,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,656.40 : 221,702.42 = 89,035.80 : x
  2. Step 2: Convert to fraction form
    160,656.40/221,702.42 = 89,035.80/x
  3. Step 3: Cross multiply
    160,656.40x = 221,702.42 × 89,035.80
  4. Step 4: Simplify right side
    160,656.40x = 19,739,451,218.12
  5. Step 5: Solve for x
    x = 19,739,451,218.12/160,656.40
  6. Step 6: Final answer
    x = 122,867.51

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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.