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Finding the Fourth Proportional to 100,406.31, 150,513.40 and 37,209.45

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Solution

The fourth proportional to 100,406.31, 150,513.40 and 37,209.45 is: 55,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.31 : 150,513.40 = 37,209.45 : x
  2. Step 2: Convert to fraction form
    100,406.31/150,513.40 = 37,209.45/x
  3. Step 3: Cross multiply
    100,406.31x = 150,513.40 × 37,209.45
  4. Step 4: Simplify right side
    100,406.31x = 5,600,520,831.63
  5. Step 5: Solve for x
    x = 5,600,520,831.63/100,406.31
  6. Step 6: Final answer
    x = 55,778.57

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1.5x scale

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.