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Finding the Fourth Proportional to 210,879.20, 315,934.80 and 99,826.40

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Solution

The fourth proportional to 210,879.20, 315,934.80 and 99,826.40 is: 149,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,879.20 : 315,934.80 = 99,826.40 : x
  2. Step 2: Convert to fraction form
    210,879.20/315,934.80 = 99,826.40/x
  3. Step 3: Cross multiply
    210,879.20x = 315,934.80 × 99,826.40
  4. Step 4: Simplify right side
    210,879.20x = 31,538,633,718.72
  5. Step 5: Solve for x
    x = 31,538,633,718.72/210,879.20
  6. Step 6: Final answer
    x = 149,557.82

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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.