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Finding the Fourth Proportional to 107,009.50, 147,672.80 and 61,687.22

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Solution

The fourth proportional to 107,009.50, 147,672.80 and 61,687.22 is: 85,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,009.50 : 147,672.80 = 61,687.22 : x
  2. Step 2: Convert to fraction form
    107,009.50/147,672.80 = 61,687.22/x
  3. Step 3: Cross multiply
    107,009.50x = 147,672.80 × 61,687.22
  4. Step 4: Simplify right side
    107,009.50x = 9,109,524,501.62
  5. Step 5: Solve for x
    x = 9,109,524,501.62/107,009.50
  6. Step 6: Final answer
    x = 85,128.18

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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.