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Finding the Fourth Proportional to 156,885, 216,501.62 and 86,229

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Solution

The fourth proportional to 156,885, 216,501.62 and 86,229 is: 118,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,885 : 216,501.62 = 86,229 : x
  2. Step 2: Convert to fraction form
    156,885/216,501.62 = 86,229/x
  3. Step 3: Cross multiply
    156,885x = 216,501.62 × 86,229
  4. Step 4: Simplify right side
    156,885x = 18,668,718,190.98
  5. Step 5: Solve for x
    x = 18,668,718,190.98/156,885
  6. Step 6: Final answer
    x = 118,996.20

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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.