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Finding the Fourth Proportional to 122,478.81, 183,670.98 and 47,589.11

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Solution

The fourth proportional to 122,478.81, 183,670.98 and 47,589.11 is: 71,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,478.81 : 183,670.98 = 47,589.11 : x
  2. Step 2: Convert to fraction form
    122,478.81/183,670.98 = 47,589.11/x
  3. Step 3: Cross multiply
    122,478.81x = 183,670.98 × 47,589.11
  4. Step 4: Simplify right side
    122,478.81x = 8,740,737,552.67
  5. Step 5: Solve for x
    x = 8,740,737,552.67/122,478.81
  6. Step 6: Final answer
    x = 71,365.30

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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.