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Finding the Fourth Proportional to 158,656, 218,948.16 and 87,039.68

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Solution

The fourth proportional to 158,656, 218,948.16 and 87,039.68 is: 120,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,656 : 218,948.16 = 87,039.68 : x
  2. Step 2: Convert to fraction form
    158,656/218,948.16 = 87,039.68/x
  3. Step 3: Cross multiply
    158,656x = 218,948.16 × 87,039.68
  4. Step 4: Simplify right side
    158,656x = 19,057,177,782.99
  5. Step 5: Solve for x
    x = 19,057,177,782.99/158,656
  6. Step 6: Final answer
    x = 120,116.34

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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.