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Finding the Fourth Proportional to 107,069.78, 147,777 and 61,777.02

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Solution

The fourth proportional to 107,069.78, 147,777 and 61,777.02 is: 85,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,069.78 : 147,777 = 61,777.02 : x
  2. Step 2: Convert to fraction form
    107,069.78/147,777 = 61,777.02/x
  3. Step 3: Cross multiply
    107,069.78x = 147,777 × 61,777.02
  4. Step 4: Simplify right side
    107,069.78x = 9,129,222,684.54
  5. Step 5: Solve for x
    x = 9,129,222,684.54/107,069.78
  6. Step 6: Final answer
    x = 85,264.23

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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.