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Finding the Fourth Proportional to 135,810.80, 203,570.40 and 51,538.40

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Solution

The fourth proportional to 135,810.80, 203,570.40 and 51,538.40 is: 77,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,810.80 : 203,570.40 = 51,538.40 : x
  2. Step 2: Convert to fraction form
    135,810.80/203,570.40 = 51,538.40/x
  3. Step 3: Cross multiply
    135,810.80x = 203,570.40 × 51,538.40
  4. Step 4: Simplify right side
    135,810.80x = 10,491,692,703.36
  5. Step 5: Solve for x
    x = 10,491,692,703.36/135,810.80
  6. Step 6: Final answer
    x = 77,252.27

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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.