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Finding the Fourth Proportional to 100,583.13, 138,813.03 and 64,847.55

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Solution

The fourth proportional to 100,583.13, 138,813.03 and 64,847.55 is: 89,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,583.13 : 138,813.03 = 64,847.55 : x
  2. Step 2: Convert to fraction form
    100,583.13/138,813.03 = 64,847.55/x
  3. Step 3: Cross multiply
    100,583.13x = 138,813.03 × 64,847.55
  4. Step 4: Simplify right side
    100,583.13x = 9,001,684,903.58
  5. Step 5: Solve for x
    x = 9,001,684,903.58/100,583.13
  6. Step 6: Final answer
    x = 89,494.98

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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.