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Finding the Fourth Proportional to 100,704.42, 138,973.05 and 55,382.67

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Solution

The fourth proportional to 100,704.42, 138,973.05 and 55,382.67 is: 76,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704.42 : 138,973.05 = 55,382.67 : x
  2. Step 2: Convert to fraction form
    100,704.42/138,973.05 = 55,382.67/x
  3. Step 3: Cross multiply
    100,704.42x = 138,973.05 × 55,382.67
  4. Step 4: Simplify right side
    100,704.42x = 7,696,698,567.04
  5. Step 5: Solve for x
    x = 7,696,698,567.04/100,704.42
  6. Step 6: Final answer
    x = 76,428.61

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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.