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Finding the Fourth Proportional to 107,146.56, 147,861.09 and 61,824

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Solution

The fourth proportional to 107,146.56, 147,861.09 and 61,824 is: 85,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146.56 : 147,861.09 = 61,824 : x
  2. Step 2: Convert to fraction form
    107,146.56/147,861.09 = 61,824/x
  3. Step 3: Cross multiply
    107,146.56x = 147,861.09 × 61,824
  4. Step 4: Simplify right side
    107,146.56x = 9,141,364,028.16
  5. Step 5: Solve for x
    x = 9,141,364,028.16/107,146.56
  6. Step 6: Final answer
    x = 85,316.45

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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.