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Finding the Fourth Proportional to 149,056.72, 205,698.11 and 85,394.77

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Solution

The fourth proportional to 149,056.72, 205,698.11 and 85,394.77 is: 117,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,056.72 : 205,698.11 = 85,394.77 : x
  2. Step 2: Convert to fraction form
    149,056.72/205,698.11 = 85,394.77/x
  3. Step 3: Cross multiply
    149,056.72x = 205,698.11 × 85,394.77
  4. Step 4: Simplify right side
    149,056.72x = 17,565,541,337.42
  5. Step 5: Solve for x
    x = 17,565,541,337.42/149,056.72
  6. Step 6: Final answer
    x = 117,844.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.