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Finding the Fourth Proportional to 100,378.88, 138,449.28 and 72,113.60

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Solution

The fourth proportional to 100,378.88, 138,449.28 and 72,113.60 is: 99,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.88 : 138,449.28 = 72,113.60 : x
  2. Step 2: Convert to fraction form
    100,378.88/138,449.28 = 72,113.60/x
  3. Step 3: Cross multiply
    100,378.88x = 138,449.28 × 72,113.60
  4. Step 4: Simplify right side
    100,378.88x = 9,984,075,998.21
  5. Step 5: Solve for x
    x = 9,984,075,998.21/100,378.88
  6. Step 6: Final answer
    x = 99,463.91

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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.