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Finding the Fourth Proportional to 160,446.81, 221,408.17 and 87,835.80

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Solution

The fourth proportional to 160,446.81, 221,408.17 and 87,835.80 is: 121,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,446.81 : 221,408.17 = 87,835.80 : x
  2. Step 2: Convert to fraction form
    160,446.81/221,408.17 = 87,835.80/x
  3. Step 3: Cross multiply
    160,446.81x = 221,408.17 × 87,835.80
  4. Step 4: Simplify right side
    160,446.81x = 19,447,563,518.90
  5. Step 5: Solve for x
    x = 19,447,563,518.90/160,446.81
  6. Step 6: Final answer
    x = 121,208.79

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1.5x scale

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.