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Finding the Fourth Proportional to 156,600.94, 216,202.10 and 102,978.43

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Solution

The fourth proportional to 156,600.94, 216,202.10 and 102,978.43 is: 142,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,600.94 : 216,202.10 = 102,978.43 : x
  2. Step 2: Convert to fraction form
    156,600.94/216,202.10 = 102,978.43/x
  3. Step 3: Cross multiply
    156,600.94x = 216,202.10 × 102,978.43
  4. Step 4: Simplify right side
    156,600.94x = 22,264,152,537.64
  5. Step 5: Solve for x
    x = 22,264,152,537.64/156,600.94
  6. Step 6: Final answer
    x = 142,171.26

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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.