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Finding the Fourth Proportional to 158,506.28, 218,741.38 and 86,881.72

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Solution

The fourth proportional to 158,506.28, 218,741.38 and 86,881.72 is: 119,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,506.28 : 218,741.38 = 86,881.72 : x
  2. Step 2: Convert to fraction form
    158,506.28/218,741.38 = 86,881.72/x
  3. Step 3: Cross multiply
    158,506.28x = 218,741.38 × 86,881.72
  4. Step 4: Simplify right side
    158,506.28x = 19,004,627,329.57
  5. Step 5: Solve for x
    x = 19,004,627,329.57/158,506.28
  6. Step 6: Final answer
    x = 119,898.26

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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.