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Finding the Fourth Proportional to 142,076.96, 211,950.90 and 138,215.69

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Solution

The fourth proportional to 142,076.96, 211,950.90 and 138,215.69 is: 206,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,076.96 : 211,950.90 = 138,215.69 : x
  2. Step 2: Convert to fraction form
    142,076.96/211,950.90 = 138,215.69/x
  3. Step 3: Cross multiply
    142,076.96x = 211,950.90 × 138,215.69
  4. Step 4: Simplify right side
    142,076.96x = 29,294,939,889.62
  5. Step 5: Solve for x
    x = 29,294,939,889.62/142,076.96
  6. Step 6: Final answer
    x = 206,190.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.