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Finding the Fourth Proportional to 162,920.21, 244,062.16 and 77,409.37

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Solution

The fourth proportional to 162,920.21, 244,062.16 and 77,409.37 is: 115,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,920.21 : 244,062.16 = 77,409.37 : x
  2. Step 2: Convert to fraction form
    162,920.21/244,062.16 = 77,409.37/x
  3. Step 3: Cross multiply
    162,920.21x = 244,062.16 × 77,409.37
  4. Step 4: Simplify right side
    162,920.21x = 18,892,697,620.12
  5. Step 5: Solve for x
    x = 18,892,697,620.12/162,920.21
  6. Step 6: Final answer
    x = 115,962.89

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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.