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Finding the Fourth Proportional to 133,728.40, 200,527.80 and 74,501.20

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Solution

The fourth proportional to 133,728.40, 200,527.80 and 74,501.20 is: 111,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728.40 : 200,527.80 = 74,501.20 : x
  2. Step 2: Convert to fraction form
    133,728.40/200,527.80 = 74,501.20/x
  3. Step 3: Cross multiply
    133,728.40x = 200,527.80 × 74,501.20
  4. Step 4: Simplify right side
    133,728.40x = 14,939,561,733.36
  5. Step 5: Solve for x
    x = 14,939,561,733.36/133,728.40
  6. Step 6: Final answer
    x = 111,715.70

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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.