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Finding the Fourth Proportional to 30,105.76, 45,155.76 and 10,381.60

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Solution

The fourth proportional to 30,105.76, 45,155.76 and 10,381.60 is: 15,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.76 : 45,155.76 = 10,381.60 : x
  2. Step 2: Convert to fraction form
    30,105.76/45,155.76 = 10,381.60/x
  3. Step 3: Cross multiply
    30,105.76x = 45,155.76 × 10,381.60
  4. Step 4: Simplify right side
    30,105.76x = 468,789,038.02
  5. Step 5: Solve for x
    x = 468,789,038.02/30,105.76
  6. Step 6: Final answer
    x = 15,571.41

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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.