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Finding the Fourth Proportional to 122,813.85, 184,225.98 and 42,859.86

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Solution

The fourth proportional to 122,813.85, 184,225.98 and 42,859.86 is: 64,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,813.85 : 184,225.98 = 42,859.86 : x
  2. Step 2: Convert to fraction form
    122,813.85/184,225.98 = 42,859.86/x
  3. Step 3: Cross multiply
    122,813.85x = 184,225.98 × 42,859.86
  4. Step 4: Simplify right side
    122,813.85x = 7,895,899,711.16
  5. Step 5: Solve for x
    x = 7,895,899,711.16/122,813.85
  6. Step 6: Final answer
    x = 64,291.61

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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.