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Finding the Fourth Proportional to 159,438.84, 220,025.32 and 87,823.70

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Solution

The fourth proportional to 159,438.84, 220,025.32 and 87,823.70 is: 121,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,438.84 : 220,025.32 = 87,823.70 : x
  2. Step 2: Convert to fraction form
    159,438.84/220,025.32 = 87,823.70/x
  3. Step 3: Cross multiply
    159,438.84x = 220,025.32 × 87,823.70
  4. Step 4: Simplify right side
    159,438.84x = 19,323,437,696.08
  5. Step 5: Solve for x
    x = 19,323,437,696.08/159,438.84
  6. Step 6: Final answer
    x = 121,196.55

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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.