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Finding the Fourth Proportional to 161,671.86, 242,402.16 and 77,429.28

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Solution

The fourth proportional to 161,671.86, 242,402.16 and 77,429.28 is: 116,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,671.86 : 242,402.16 = 77,429.28 : x
  2. Step 2: Convert to fraction form
    161,671.86/242,402.16 = 77,429.28/x
  3. Step 3: Cross multiply
    161,671.86x = 242,402.16 × 77,429.28
  4. Step 4: Simplify right side
    161,671.86x = 18,769,024,719.24
  5. Step 5: Solve for x
    x = 18,769,024,719.24/161,671.86
  6. Step 6: Final answer
    x = 116,093.33

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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.