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Finding the Fourth Proportional to 374,051.12, 561,149.88 and 137,395.64

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Solution

The fourth proportional to 374,051.12, 561,149.88 and 137,395.64 is: 206,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,051.12 : 561,149.88 = 137,395.64 : x
  2. Step 2: Convert to fraction form
    374,051.12/561,149.88 = 137,395.64/x
  3. Step 3: Cross multiply
    374,051.12x = 561,149.88 × 137,395.64
  4. Step 4: Simplify right side
    374,051.12x = 77,099,546,898.52
  5. Step 5: Solve for x
    x = 77,099,546,898.52/374,051.12
  6. Step 6: Final answer
    x = 206,120.35

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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.