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Finding the Fourth Proportional to 159,319.98, 219,882.60 and 102,895.38

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Solution

The fourth proportional to 159,319.98, 219,882.60 and 102,895.38 is: 142,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,319.98 : 219,882.60 = 102,895.38 : x
  2. Step 2: Convert to fraction form
    159,319.98/219,882.60 = 102,895.38/x
  3. Step 3: Cross multiply
    159,319.98x = 219,882.60 × 102,895.38
  4. Step 4: Simplify right side
    159,319.98x = 22,624,903,682.39
  5. Step 5: Solve for x
    x = 22,624,903,682.39/159,319.98
  6. Step 6: Final answer
    x = 142,009.20

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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.