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Finding the Fourth Proportional to 140,615.78, 210,880.21 and 40,783.32

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Solution

The fourth proportional to 140,615.78, 210,880.21 and 40,783.32 is: 61,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,615.78 : 210,880.21 = 40,783.32 : x
  2. Step 2: Convert to fraction form
    140,615.78/210,880.21 = 40,783.32/x
  3. Step 3: Cross multiply
    140,615.78x = 210,880.21 × 40,783.32
  4. Step 4: Simplify right side
    140,615.78x = 8,600,395,086.10
  5. Step 5: Solve for x
    x = 8,600,395,086.10/140,615.78
  6. Step 6: Final answer
    x = 61,162.38

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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.