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Finding the Fourth Proportional to 140,458.94, 210,709.39 and 51,705.70

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Solution

The fourth proportional to 140,458.94, 210,709.39 and 51,705.70 is: 77,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,458.94 : 210,709.39 = 51,705.70 : x
  2. Step 2: Convert to fraction form
    140,458.94/210,709.39 = 51,705.70/x
  3. Step 3: Cross multiply
    140,458.94x = 210,709.39 × 51,705.70
  4. Step 4: Simplify right side
    140,458.94x = 10,894,876,685.48
  5. Step 5: Solve for x
    x = 10,894,876,685.48/140,458.94
  6. Step 6: Final answer
    x = 77,566.27

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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.