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Finding the Fourth Proportional to 156,458.08, 215,855.56 and 102,772

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Solution

The fourth proportional to 156,458.08, 215,855.56 and 102,772 is: 141,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,458.08 : 215,855.56 = 102,772 : x
  2. Step 2: Convert to fraction form
    156,458.08/215,855.56 = 102,772/x
  3. Step 3: Cross multiply
    156,458.08x = 215,855.56 × 102,772
  4. Step 4: Simplify right side
    156,458.08x = 22,183,907,612.32
  5. Step 5: Solve for x
    x = 22,183,907,612.32/156,458.08
  6. Step 6: Final answer
    x = 141,788.19

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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.