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Finding the Fourth Proportional to 100,340.84, 138,563.80 and 64,592.80

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Solution

The fourth proportional to 100,340.84, 138,563.80 and 64,592.80 is: 89,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340.84 : 138,563.80 = 64,592.80 : x
  2. Step 2: Convert to fraction form
    100,340.84/138,563.80 = 64,592.80/x
  3. Step 3: Cross multiply
    100,340.84x = 138,563.80 × 64,592.80
  4. Step 4: Simplify right side
    100,340.84x = 8,950,223,820.64
  5. Step 5: Solve for x
    x = 8,950,223,820.64/100,340.84
  6. Step 6: Final answer
    x = 89,198.22

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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.