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Finding the Fourth Proportional to 156,987.09, 216,646.29 and 85,371.30

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Solution

The fourth proportional to 156,987.09, 216,646.29 and 85,371.30 is: 117,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,987.09 : 216,646.29 = 85,371.30 : x
  2. Step 2: Convert to fraction form
    156,987.09/216,646.29 = 85,371.30/x
  3. Step 3: Cross multiply
    156,987.09x = 216,646.29 × 85,371.30
  4. Step 4: Simplify right side
    156,987.09x = 18,495,375,417.48
  5. Step 5: Solve for x
    x = 18,495,375,417.48/156,987.09
  6. Step 6: Final answer
    x = 117,814.63

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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.