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Finding the Fourth Proportional to 134,841, 186,080.66 and 75,225

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Solution

The fourth proportional to 134,841, 186,080.66 and 75,225 is: 103,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,841 : 186,080.66 = 75,225 : x
  2. Step 2: Convert to fraction form
    134,841/186,080.66 = 75,225/x
  3. Step 3: Cross multiply
    134,841x = 186,080.66 × 75,225
  4. Step 4: Simplify right side
    134,841x = 13,997,917,648.50
  5. Step 5: Solve for x
    x = 13,997,917,648.50/134,841
  6. Step 6: Final answer
    x = 103,810.54

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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.