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Finding the Fourth Proportional to 140,552.87, 210,829.30 and 40,713.10

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Solution

The fourth proportional to 140,552.87, 210,829.30 and 40,713.10 is: 61,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,552.87 : 210,829.30 = 40,713.10 : x
  2. Step 2: Convert to fraction form
    140,552.87/210,829.30 = 40,713.10/x
  3. Step 3: Cross multiply
    140,552.87x = 210,829.30 × 40,713.10
  4. Step 4: Simplify right side
    140,552.87x = 8,583,513,744.97
  5. Step 5: Solve for x
    x = 8,583,513,744.97/140,552.87
  6. Step 6: Final answer
    x = 61,069.64

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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.