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Finding the Fourth Proportional to 135,454.64, 186,929.01 and 75,026.48

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Solution

The fourth proportional to 135,454.64, 186,929.01 and 75,026.48 is: 103,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,454.64 : 186,929.01 = 75,026.48 : x
  2. Step 2: Convert to fraction form
    135,454.64/186,929.01 = 75,026.48/x
  3. Step 3: Cross multiply
    135,454.64x = 186,929.01 × 75,026.48
  4. Step 4: Simplify right side
    135,454.64x = 14,024,624,695.54
  5. Step 5: Solve for x
    x = 14,024,624,695.54/135,454.64
  6. Step 6: Final answer
    x = 103,537.43

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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.