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Finding the Fourth Proportional to 210,508.20, 315,886.77 and 77,481.90

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Solution

The fourth proportional to 210,508.20, 315,886.77 and 77,481.90 is: 116,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,508.20 : 315,886.77 = 77,481.90 : x
  2. Step 2: Convert to fraction form
    210,508.20/315,886.77 = 77,481.90/x
  3. Step 3: Cross multiply
    210,508.20x = 315,886.77 × 77,481.90
  4. Step 4: Simplify right side
    210,508.20x = 24,475,507,124.46
  5. Step 5: Solve for x
    x = 24,475,507,124.46/210,508.20
  6. Step 6: Final answer
    x = 116,268.66

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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.