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Finding the Fourth Proportional to 158,566.50, 218,801.70 and 86,927.70

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Solution

The fourth proportional to 158,566.50, 218,801.70 and 86,927.70 is: 119,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,566.50 : 218,801.70 = 86,927.70 : x
  2. Step 2: Convert to fraction form
    158,566.50/218,801.70 = 86,927.70/x
  3. Step 3: Cross multiply
    158,566.50x = 218,801.70 × 86,927.70
  4. Step 4: Simplify right side
    158,566.50x = 19,019,928,537.09
  5. Step 5: Solve for x
    x = 19,019,928,537.09/158,566.50
  6. Step 6: Final answer
    x = 119,949.22

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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.