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Finding the Fourth Proportional to 158,395, 218,585.50 and 86,776.42

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Solution

The fourth proportional to 158,395, 218,585.50 and 86,776.42 is: 119,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,395 : 218,585.50 = 86,776.42 : x
  2. Step 2: Convert to fraction form
    158,395/218,585.50 = 86,776.42/x
  3. Step 3: Cross multiply
    158,395x = 218,585.50 × 86,776.42
  4. Step 4: Simplify right side
    158,395x = 18,968,067,153.91
  5. Step 5: Solve for x
    x = 18,968,067,153.91/158,395
  6. Step 6: Final answer
    x = 119,751.68

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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.