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Finding the Fourth Proportional to 140,019.72, 210,029.16 and 34,838.68

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Solution

The fourth proportional to 140,019.72, 210,029.16 and 34,838.68 is: 52,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,019.72 : 210,029.16 = 34,838.68 : x
  2. Step 2: Convert to fraction form
    140,019.72/210,029.16 = 34,838.68/x
  3. Step 3: Cross multiply
    140,019.72x = 210,029.16 × 34,838.68
  4. Step 4: Simplify right side
    140,019.72x = 7,317,138,695.91
  5. Step 5: Solve for x
    x = 7,317,138,695.91/140,019.72
  6. Step 6: Final answer
    x = 52,257.92

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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.