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Finding the Fourth Proportional to 156,878.59, 216,494.13 and 85,258.61

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Solution

The fourth proportional to 156,878.59, 216,494.13 and 85,258.61 is: 117,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,878.59 : 216,494.13 = 85,258.61 : x
  2. Step 2: Convert to fraction form
    156,878.59/216,494.13 = 85,258.61/x
  3. Step 3: Cross multiply
    156,878.59x = 216,494.13 × 85,258.61
  4. Step 4: Simplify right side
    156,878.59x = 18,457,988,596.96
  5. Step 5: Solve for x
    x = 18,457,988,596.96/156,878.59
  6. Step 6: Final answer
    x = 117,657.79

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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.