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Finding the Fourth Proportional to 140,797.91, 210,924.71 and 78,278.87

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Solution

The fourth proportional to 140,797.91, 210,924.71 and 78,278.87 is: 117,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,797.91 : 210,924.71 = 78,278.87 : x
  2. Step 2: Convert to fraction form
    140,797.91/210,924.71 = 78,278.87/x
  3. Step 3: Cross multiply
    140,797.91x = 210,924.71 × 78,278.87
  4. Step 4: Simplify right side
    140,797.91x = 16,510,948,383.34
  5. Step 5: Solve for x
    x = 16,510,948,383.34/140,797.91
  6. Step 6: Final answer
    x = 117,267.00

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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.