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Finding the Fourth Proportional to 134,000.56, 200,738.04 and 77,722.40

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Solution

The fourth proportional to 134,000.56, 200,738.04 and 77,722.40 is: 116,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,000.56 : 200,738.04 = 77,722.40 : x
  2. Step 2: Convert to fraction form
    134,000.56/200,738.04 = 77,722.40/x
  3. Step 3: Cross multiply
    134,000.56x = 200,738.04 × 77,722.40
  4. Step 4: Simplify right side
    134,000.56x = 15,601,842,240.10
  5. Step 5: Solve for x
    x = 15,601,842,240.10/134,000.56
  6. Step 6: Final answer
    x = 116,431.17

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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.