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Finding the Fourth Proportional to 159,323.87, 219,871.89 and 86,731.59

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Solution

The fourth proportional to 159,323.87, 219,871.89 and 86,731.59 is: 119,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,323.87 : 219,871.89 = 86,731.59 : x
  2. Step 2: Convert to fraction form
    159,323.87/219,871.89 = 86,731.59/x
  3. Step 3: Cross multiply
    159,323.87x = 219,871.89 × 86,731.59
  4. Step 4: Simplify right side
    159,323.87x = 19,069,838,616.01
  5. Step 5: Solve for x
    x = 19,069,838,616.01/159,323.87
  6. Step 6: Final answer
    x = 119,692.29

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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.