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Finding the Fourth Proportional to 158,106.87, 218,184.64 and 86,486.27

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Solution

The fourth proportional to 158,106.87, 218,184.64 and 86,486.27 is: 119,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,106.87 : 218,184.64 = 86,486.27 : x
  2. Step 2: Convert to fraction form
    158,106.87/218,184.64 = 86,486.27/x
  3. Step 3: Cross multiply
    158,106.87x = 218,184.64 × 86,486.27
  4. Step 4: Simplify right side
    158,106.87x = 18,869,974,377.75
  5. Step 5: Solve for x
    x = 18,869,974,377.75/158,106.87
  6. Step 6: Final answer
    x = 119,349.49

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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.