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Finding the Fourth Proportional to 140,530.40, 210,722.70 and 51,738.20

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Solution

The fourth proportional to 140,530.40, 210,722.70 and 51,738.20 is: 77,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,530.40 : 210,722.70 = 51,738.20 : x
  2. Step 2: Convert to fraction form
    140,530.40/210,722.70 = 51,738.20/x
  3. Step 3: Cross multiply
    140,530.40x = 210,722.70 × 51,738.20
  4. Step 4: Simplify right side
    140,530.40x = 10,902,413,197.14
  5. Step 5: Solve for x
    x = 10,902,413,197.14/140,530.40
  6. Step 6: Final answer
    x = 77,580.46

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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.