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Finding the Fourth Proportional to 156,878.78, 216,494.10 and 85,258.85

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Solution

The fourth proportional to 156,878.78, 216,494.10 and 85,258.85 is: 117,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,878.78 : 216,494.10 = 85,258.85 : x
  2. Step 2: Convert to fraction form
    156,878.78/216,494.10 = 85,258.85/x
  3. Step 3: Cross multiply
    156,878.78x = 216,494.10 × 85,258.85
  4. Step 4: Simplify right side
    156,878.78x = 18,458,036,915.31
  5. Step 5: Solve for x
    x = 18,458,036,915.31/156,878.78
  6. Step 6: Final answer
    x = 117,657.96

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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.