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Finding the Fourth Proportional to 107,020.84, 147,687.26 and 61,698.90

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Solution

The fourth proportional to 107,020.84, 147,687.26 and 61,698.90 is: 85,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,020.84 : 147,687.26 = 61,698.90 : x
  2. Step 2: Convert to fraction form
    107,020.84/147,687.26 = 61,698.90/x
  3. Step 3: Cross multiply
    107,020.84x = 147,687.26 × 61,698.90
  4. Step 4: Simplify right side
    107,020.84x = 9,112,141,486.01
  5. Step 5: Solve for x
    x = 9,112,141,486.01/107,020.84
  6. Step 6: Final answer
    x = 85,143.62

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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.