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Finding the Fourth Proportional to 147,854, 204,043.56 and 80,790.32

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Solution

The fourth proportional to 147,854, 204,043.56 and 80,790.32 is: 111,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,854 : 204,043.56 = 80,790.32 : x
  2. Step 2: Convert to fraction form
    147,854/204,043.56 = 80,790.32/x
  3. Step 3: Cross multiply
    147,854x = 204,043.56 × 80,790.32
  4. Step 4: Simplify right side
    147,854x = 16,484,744,506.34
  5. Step 5: Solve for x
    x = 16,484,744,506.34/147,854
  6. Step 6: Final answer
    x = 111,493.40

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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.