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Finding the Fourth Proportional to 100,423.98, 138,579.12 and 57,408.12

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Solution

The fourth proportional to 100,423.98, 138,579.12 and 57,408.12 is: 79,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,423.98 : 138,579.12 = 57,408.12 : x
  2. Step 2: Convert to fraction form
    100,423.98/138,579.12 = 57,408.12/x
  3. Step 3: Cross multiply
    100,423.98x = 138,579.12 × 57,408.12
  4. Step 4: Simplify right side
    100,423.98x = 7,955,566,750.45
  5. Step 5: Solve for x
    x = 7,955,566,750.45/100,423.98
  6. Step 6: Final answer
    x = 79,219.79

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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.