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Finding the Fourth Proportional to 137,099.94, 189,200.43 and 83,387.22

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Solution

The fourth proportional to 137,099.94, 189,200.43 and 83,387.22 is: 115,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,099.94 : 189,200.43 = 83,387.22 : x
  2. Step 2: Convert to fraction form
    137,099.94/189,200.43 = 83,387.22/x
  3. Step 3: Cross multiply
    137,099.94x = 189,200.43 × 83,387.22
  4. Step 4: Simplify right side
    137,099.94x = 15,776,897,880.50
  5. Step 5: Solve for x
    x = 15,776,897,880.50/137,099.94
  6. Step 6: Final answer
    x = 115,075.89

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