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Finding the Fourth Proportional to 140,421.87, 210,716.06 and 51,737.63

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Solution

The fourth proportional to 140,421.87, 210,716.06 and 51,737.63 is: 77,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,421.87 : 210,716.06 = 51,737.63 : x
  2. Step 2: Convert to fraction form
    140,421.87/210,716.06 = 51,737.63/x
  3. Step 3: Cross multiply
    140,421.87x = 210,716.06 × 51,737.63
  4. Step 4: Simplify right side
    140,421.87x = 10,901,948,235.07
  5. Step 5: Solve for x
    x = 10,901,948,235.07/140,421.87
  6. Step 6: Final answer
    x = 77,637.11

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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.