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Finding the Fourth Proportional to 140,154.62, 210,259.62 and 51,408.95

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Solution

The fourth proportional to 140,154.62, 210,259.62 and 51,408.95 is: 77,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,154.62 : 210,259.62 = 51,408.95 : x
  2. Step 2: Convert to fraction form
    140,154.62/210,259.62 = 51,408.95/x
  3. Step 3: Cross multiply
    140,154.62x = 210,259.62 × 51,408.95
  4. Step 4: Simplify right side
    140,154.62x = 10,809,225,240.30
  5. Step 5: Solve for x
    x = 10,809,225,240.30/140,154.62
  6. Step 6: Final answer
    x = 77,123.58

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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.