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Finding the Fourth Proportional to 100,447.76, 150,488 and 47,041.76

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Solution

The fourth proportional to 100,447.76, 150,488 and 47,041.76 is: 70,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,447.76 : 150,488 = 47,041.76 : x
  2. Step 2: Convert to fraction form
    100,447.76/150,488 = 47,041.76/x
  3. Step 3: Cross multiply
    100,447.76x = 150,488 × 47,041.76
  4. Step 4: Simplify right side
    100,447.76x = 7,079,220,378.88
  5. Step 5: Solve for x
    x = 7,079,220,378.88/100,447.76
  6. Step 6: Final answer
    x = 70,476.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.