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Finding the Fourth Proportional to 137,259.69, 189,361.98 and 83,535.90

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Solution

The fourth proportional to 137,259.69, 189,361.98 and 83,535.90 is: 115,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,259.69 : 189,361.98 = 83,535.90 : x
  2. Step 2: Convert to fraction form
    137,259.69/189,361.98 = 83,535.90/x
  3. Step 3: Cross multiply
    137,259.69x = 189,361.98 × 83,535.90
  4. Step 4: Simplify right side
    137,259.69x = 15,818,523,425.08
  5. Step 5: Solve for x
    x = 15,818,523,425.08/137,259.69
  6. Step 6: Final answer
    x = 115,245.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.