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Finding the Fourth Proportional to 121,874.60, 182,811.90 and 106,322.60

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Solution

The fourth proportional to 121,874.60, 182,811.90 and 106,322.60 is: 159,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,874.60 : 182,811.90 = 106,322.60 : x
  2. Step 2: Convert to fraction form
    121,874.60/182,811.90 = 106,322.60/x
  3. Step 3: Cross multiply
    121,874.60x = 182,811.90 × 106,322.60
  4. Step 4: Simplify right side
    121,874.60x = 19,437,036,518.94
  5. Step 5: Solve for x
    x = 19,437,036,518.94/121,874.60
  6. Step 6: Final answer
    x = 159,483.90

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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.