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Finding the Fourth Proportional to 133,838.56, 200,807.04 and 54,931.52

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Solution

The fourth proportional to 133,838.56, 200,807.04 and 54,931.52 is: 82,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,838.56 : 200,807.04 = 54,931.52 : x
  2. Step 2: Convert to fraction form
    133,838.56/200,807.04 = 54,931.52/x
  3. Step 3: Cross multiply
    133,838.56x = 200,807.04 × 54,931.52
  4. Step 4: Simplify right side
    133,838.56x = 11,030,635,933.90
  5. Step 5: Solve for x
    x = 11,030,635,933.90/133,838.56
  6. Step 6: Final answer
    x = 82,417.47

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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.