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Finding the Fourth Proportional to 156,787.30, 235,202.55 and 68,038.30

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Solution

The fourth proportional to 156,787.30, 235,202.55 and 68,038.30 is: 102,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,787.30 : 235,202.55 = 68,038.30 : x
  2. Step 2: Convert to fraction form
    156,787.30/235,202.55 = 68,038.30/x
  3. Step 3: Cross multiply
    156,787.30x = 235,202.55 × 68,038.30
  4. Step 4: Simplify right side
    156,787.30x = 16,002,781,657.67
  5. Step 5: Solve for x
    x = 16,002,781,657.67/156,787.30
  6. Step 6: Final answer
    x = 102,066.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.