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Finding the Fourth Proportional to 156,872, 216,484.76 and 85,252.03

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Solution

The fourth proportional to 156,872, 216,484.76 and 85,252.03 is: 117,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,872 : 216,484.76 = 85,252.03 : x
  2. Step 2: Convert to fraction form
    156,872/216,484.76 = 85,252.03/x
  3. Step 3: Cross multiply
    156,872x = 216,484.76 × 85,252.03
  4. Step 4: Simplify right side
    156,872x = 18,455,765,254.06
  5. Step 5: Solve for x
    x = 18,455,765,254.06/156,872
  6. Step 6: Final answer
    x = 117,648.56

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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.