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Finding the Fourth Proportional to 159,895.42, 220,652.16 and 87,295.84

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Solution

The fourth proportional to 159,895.42, 220,652.16 and 87,295.84 is: 120,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,895.42 : 220,652.16 = 87,295.84 : x
  2. Step 2: Convert to fraction form
    159,895.42/220,652.16 = 87,295.84/x
  3. Step 3: Cross multiply
    159,895.42x = 220,652.16 × 87,295.84
  4. Step 4: Simplify right side
    159,895.42x = 19,262,015,655.01
  5. Step 5: Solve for x
    x = 19,262,015,655.01/159,895.42
  6. Step 6: Final answer
    x = 120,466.34

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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.