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Finding the Fourth Proportional to 150,774.87, 208,079.95 and 99,698.84

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Solution

The fourth proportional to 150,774.87, 208,079.95 and 99,698.84 is: 137,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,774.87 : 208,079.95 = 99,698.84 : x
  2. Step 2: Convert to fraction form
    150,774.87/208,079.95 = 99,698.84/x
  3. Step 3: Cross multiply
    150,774.87x = 208,079.95 × 99,698.84
  4. Step 4: Simplify right side
    150,774.87x = 20,745,329,642.26
  5. Step 5: Solve for x
    x = 20,745,329,642.26/150,774.87
  6. Step 6: Final answer
    x = 137,591.43

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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.