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Finding the Fourth Proportional to 100,035.81, 137,914.35 and 64,163.54

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Solution

The fourth proportional to 100,035.81, 137,914.35 and 64,163.54 is: 88,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,035.81 : 137,914.35 = 64,163.54 : x
  2. Step 2: Convert to fraction form
    100,035.81/137,914.35 = 64,163.54/x
  3. Step 3: Cross multiply
    100,035.81x = 137,914.35 × 64,163.54
  4. Step 4: Simplify right side
    100,035.81x = 8,849,073,016.97
  5. Step 5: Solve for x
    x = 8,849,073,016.97/100,035.81
  6. Step 6: Final answer
    x = 88,459.05

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1.5x scale

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.