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Finding the Fourth Proportional to 140,529.40, 210,721.20 and 51,737.20

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Solution

The fourth proportional to 140,529.40, 210,721.20 and 51,737.20 is: 77,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,529.40 : 210,721.20 = 51,737.20 : x
  2. Step 2: Convert to fraction form
    140,529.40/210,721.20 = 51,737.20/x
  3. Step 3: Cross multiply
    140,529.40x = 210,721.20 × 51,737.20
  4. Step 4: Simplify right side
    140,529.40x = 10,902,124,868.64
  5. Step 5: Solve for x
    x = 10,902,124,868.64/140,529.40
  6. Step 6: Final answer
    x = 77,578.96

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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.