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Finding the Fourth Proportional to 160,473.02, 221,456.25 and 87,879

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Solution

The fourth proportional to 160,473.02, 221,456.25 and 87,879 is: 121,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,473.02 : 221,456.25 = 87,879 : x
  2. Step 2: Convert to fraction form
    160,473.02/221,456.25 = 87,879/x
  3. Step 3: Cross multiply
    160,473.02x = 221,456.25 × 87,879
  4. Step 4: Simplify right side
    160,473.02x = 19,461,353,793.75
  5. Step 5: Solve for x
    x = 19,461,353,793.75/160,473.02
  6. Step 6: Final answer
    x = 121,274.93

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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.