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Finding the Fourth Proportional to 159,184.50, 219,669.96 and 87,564.50

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Solution

The fourth proportional to 159,184.50, 219,669.96 and 87,564.50 is: 120,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,184.50 : 219,669.96 = 87,564.50 : x
  2. Step 2: Convert to fraction form
    159,184.50/219,669.96 = 87,564.50/x
  3. Step 3: Cross multiply
    159,184.50x = 219,669.96 × 87,564.50
  4. Step 4: Simplify right side
    159,184.50x = 19,235,290,212.42
  5. Step 5: Solve for x
    x = 19,235,290,212.42/159,184.50
  6. Step 6: Final answer
    x = 120,836.45

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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.