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Finding the Fourth Proportional to 133,886.63, 200,830.64 and 45,140.91

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Solution

The fourth proportional to 133,886.63, 200,830.64 and 45,140.91 is: 67,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,886.63 : 200,830.64 = 45,140.91 : x
  2. Step 2: Convert to fraction form
    133,886.63/200,830.64 = 45,140.91/x
  3. Step 3: Cross multiply
    133,886.63x = 200,830.64 × 45,140.91
  4. Step 4: Simplify right side
    133,886.63x = 9,065,676,866.66
  5. Step 5: Solve for x
    x = 9,065,676,866.66/133,886.63
  6. Step 6: Final answer
    x = 67,711.59

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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.