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Finding the Fourth Proportional to 156,978.15, 216,623.92 and 85,355.70

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Solution

The fourth proportional to 156,978.15, 216,623.92 and 85,355.70 is: 117,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.15 : 216,623.92 = 85,355.70 : x
  2. Step 2: Convert to fraction form
    156,978.15/216,623.92 = 85,355.70/x
  3. Step 3: Cross multiply
    156,978.15x = 216,623.92 × 85,355.70
  4. Step 4: Simplify right side
    156,978.15x = 18,490,086,328.34
  5. Step 5: Solve for x
    x = 18,490,086,328.34/156,978.15
  6. Step 6: Final answer
    x = 117,787.64

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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.