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Finding the Fourth Proportional to 145,527.20, 200,839.20 and 81,861.20

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Solution

The fourth proportional to 145,527.20, 200,839.20 and 81,861.20 is: 112,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,527.20 : 200,839.20 = 81,861.20 : x
  2. Step 2: Convert to fraction form
    145,527.20/200,839.20 = 81,861.20/x
  3. Step 3: Cross multiply
    145,527.20x = 200,839.20 × 81,861.20
  4. Step 4: Simplify right side
    145,527.20x = 16,440,937,919.04
  5. Step 5: Solve for x
    x = 16,440,937,919.04/145,527.20
  6. Step 6: Final answer
    x = 112,975.02

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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.