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Finding the Fourth Proportional to 105,567, 145,682.64 and 57,169.44

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Solution

The fourth proportional to 105,567, 145,682.64 and 57,169.44 is: 78,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,567 : 145,682.64 = 57,169.44 : x
  2. Step 2: Convert to fraction form
    105,567/145,682.64 = 57,169.44/x
  3. Step 3: Cross multiply
    105,567x = 145,682.64 × 57,169.44
  4. Step 4: Simplify right side
    105,567x = 8,328,594,946.52
  5. Step 5: Solve for x
    x = 8,328,594,946.52/105,567
  6. Step 6: Final answer
    x = 78,893.92

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1.5x scale

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.