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Finding the Fourth Proportional to 140,592.51, 210,919.95 and 40,756.77

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Solution

The fourth proportional to 140,592.51, 210,919.95 and 40,756.77 is: 61,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,592.51 : 210,919.95 = 40,756.77 : x
  2. Step 2: Convert to fraction form
    140,592.51/210,919.95 = 40,756.77/x
  3. Step 3: Cross multiply
    140,592.51x = 210,919.95 × 40,756.77
  4. Step 4: Simplify right side
    140,592.51x = 8,596,415,890.56
  5. Step 5: Solve for x
    x = 8,596,415,890.56/140,592.51
  6. Step 6: Final answer
    x = 61,144.20

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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.