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Finding the Fourth Proportional to 121,803.24, 182,581.10 and 82,364.84

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Solution

The fourth proportional to 121,803.24, 182,581.10 and 82,364.84 is: 123,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,803.24 : 182,581.10 = 82,364.84 : x
  2. Step 2: Convert to fraction form
    121,803.24/182,581.10 = 82,364.84/x
  3. Step 3: Cross multiply
    121,803.24x = 182,581.10 × 82,364.84
  4. Step 4: Simplify right side
    121,803.24x = 15,038,263,088.52
  5. Step 5: Solve for x
    x = 15,038,263,088.52/121,803.24
  6. Step 6: Final answer
    x = 123,463.57

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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.