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Finding the Fourth Proportional to 100,378.34, 138,522.30 and 55,056.69

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Solution

The fourth proportional to 100,378.34, 138,522.30 and 55,056.69 is: 75,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.34 : 138,522.30 = 55,056.69 : x
  2. Step 2: Convert to fraction form
    100,378.34/138,522.30 = 55,056.69/x
  3. Step 3: Cross multiply
    100,378.34x = 138,522.30 × 55,056.69
  4. Step 4: Simplify right side
    100,378.34x = 7,626,579,329.19
  5. Step 5: Solve for x
    x = 7,626,579,329.19/100,378.34
  6. Step 6: Final answer
    x = 75,978.34

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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.