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Finding the Fourth Proportional to 159,298.70, 219,830.52 and 87,677.18

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Solution

The fourth proportional to 159,298.70, 219,830.52 and 87,677.18 is: 120,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,298.70 : 219,830.52 = 87,677.18 : x
  2. Step 2: Convert to fraction form
    159,298.70/219,830.52 = 87,677.18/x
  3. Step 3: Cross multiply
    159,298.70x = 219,830.52 × 87,677.18
  4. Step 4: Simplify right side
    159,298.70x = 19,274,120,071.53
  5. Step 5: Solve for x
    x = 19,274,120,071.53/159,298.70
  6. Step 6: Final answer
    x = 120,993.58

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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.