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Finding the Fourth Proportional to 135,461.83, 186,929.09 and 75,028.88

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Solution

The fourth proportional to 135,461.83, 186,929.09 and 75,028.88 is: 103,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,461.83 : 186,929.09 = 75,028.88 : x
  2. Step 2: Convert to fraction form
    135,461.83/186,929.09 = 75,028.88/x
  3. Step 3: Cross multiply
    135,461.83x = 186,929.09 × 75,028.88
  4. Step 4: Simplify right side
    135,461.83x = 14,025,079,886.97
  5. Step 5: Solve for x
    x = 14,025,079,886.97/135,461.83
  6. Step 6: Final answer
    x = 103,535.29

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1.5x scale

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.