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Finding the Fourth Proportional to 100,187.48, 150,270.71 and 52,783.50

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Solution

The fourth proportional to 100,187.48, 150,270.71 and 52,783.50 is: 79,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,187.48 : 150,270.71 = 52,783.50 : x
  2. Step 2: Convert to fraction form
    100,187.48/150,270.71 = 52,783.50/x
  3. Step 3: Cross multiply
    100,187.48x = 150,270.71 × 52,783.50
  4. Step 4: Simplify right side
    100,187.48x = 7,931,813,772.52
  5. Step 5: Solve for x
    x = 7,931,813,772.52/100,187.48
  6. Step 6: Final answer
    x = 79,169.71

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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.