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Finding the Fourth Proportional to 122,971.86, 184,103.01 and 72,217.08

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Solution

The fourth proportional to 122,971.86, 184,103.01 and 72,217.08 is: 108,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,971.86 : 184,103.01 = 72,217.08 : x
  2. Step 2: Convert to fraction form
    122,971.86/184,103.01 = 72,217.08/x
  3. Step 3: Cross multiply
    122,971.86x = 184,103.01 × 72,217.08
  4. Step 4: Simplify right side
    122,971.86x = 13,295,381,801.41
  5. Step 5: Solve for x
    x = 13,295,381,801.41/122,971.86
  6. Step 6: Final answer
    x = 108,117.27

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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.