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Finding the Fourth Proportional to 140,473.82, 210,612.15 and 51,715.95

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Solution

The fourth proportional to 140,473.82, 210,612.15 and 51,715.95 is: 77,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,473.82 : 210,612.15 = 51,715.95 : x
  2. Step 2: Convert to fraction form
    140,473.82/210,612.15 = 51,715.95/x
  3. Step 3: Cross multiply
    140,473.82x = 210,612.15 × 51,715.95
  4. Step 4: Simplify right side
    140,473.82x = 10,892,007,418.79
  5. Step 5: Solve for x
    x = 10,892,007,418.79/140,473.82
  6. Step 6: Final answer
    x = 77,537.64

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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.