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Finding the Fourth Proportional to 147,189.60, 203,122.62 and 83,528.46

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Solution

The fourth proportional to 147,189.60, 203,122.62 and 83,528.46 is: 115,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,189.60 : 203,122.62 = 83,528.46 : x
  2. Step 2: Convert to fraction form
    147,189.60/203,122.62 = 83,528.46/x
  3. Step 3: Cross multiply
    147,189.60x = 203,122.62 × 83,528.46
  4. Step 4: Simplify right side
    147,189.60x = 16,966,519,639.77
  5. Step 5: Solve for x
    x = 16,966,519,639.77/147,189.60
  6. Step 6: Final answer
    x = 115,269.83

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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.