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Finding the Fourth Proportional to 154,861.86, 213,483.16 and 109,459.74

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Solution

The fourth proportional to 154,861.86, 213,483.16 and 109,459.74 is: 150,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,861.86 : 213,483.16 = 109,459.74 : x
  2. Step 2: Convert to fraction form
    154,861.86/213,483.16 = 109,459.74/x
  3. Step 3: Cross multiply
    154,861.86x = 213,483.16 × 109,459.74
  4. Step 4: Simplify right side
    154,861.86x = 23,367,811,187.98
  5. Step 5: Solve for x
    x = 23,367,811,187.98/154,861.86
  6. Step 6: Final answer
    x = 150,894.55

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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.