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Finding the Fourth Proportional to 147,135.57, 203,033.05 and 82,590.02

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Solution

The fourth proportional to 147,135.57, 203,033.05 and 82,590.02 is: 113,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,135.57 : 203,033.05 = 82,590.02 : x
  2. Step 2: Convert to fraction form
    147,135.57/203,033.05 = 82,590.02/x
  3. Step 3: Cross multiply
    147,135.57x = 203,033.05 × 82,590.02
  4. Step 4: Simplify right side
    147,135.57x = 16,768,503,199.89
  5. Step 5: Solve for x
    x = 16,768,503,199.89/147,135.57
  6. Step 6: Final answer
    x = 113,966.35

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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.