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Finding the Fourth Proportional to 161,414.76, 242,122.32 and 72,651.72

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Solution

The fourth proportional to 161,414.76, 242,122.32 and 72,651.72 is: 108,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,414.76 : 242,122.32 = 72,651.72 : x
  2. Step 2: Convert to fraction form
    161,414.76/242,122.32 = 72,651.72/x
  3. Step 3: Cross multiply
    161,414.76x = 242,122.32 × 72,651.72
  4. Step 4: Simplify right side
    161,414.76x = 17,590,602,998.39
  5. Step 5: Solve for x
    x = 17,590,602,998.39/161,414.76
  6. Step 6: Final answer
    x = 108,977.66

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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.