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Finding the Fourth Proportional to 69,106.57, 103,655.63 and 40,659.30

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Solution

The fourth proportional to 69,106.57, 103,655.63 and 40,659.30 is: 60,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.57 : 103,655.63 = 40,659.30 : x
  2. Step 2: Convert to fraction form
    69,106.57/103,655.63 = 40,659.30/x
  3. Step 3: Cross multiply
    69,106.57x = 103,655.63 × 40,659.30
  4. Step 4: Simplify right side
    69,106.57x = 4,214,565,458.51
  5. Step 5: Solve for x
    x = 4,214,565,458.51/69,106.57
  6. Step 6: Final answer
    x = 60,986.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.