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Finding the Fourth Proportional to 100,314.48, 150,486.28 and 53,541.84

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Solution

The fourth proportional to 100,314.48, 150,486.28 and 53,541.84 is: 80,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314.48 : 150,486.28 = 53,541.84 : x
  2. Step 2: Convert to fraction form
    100,314.48/150,486.28 = 53,541.84/x
  3. Step 3: Cross multiply
    100,314.48x = 150,486.28 × 53,541.84
  4. Step 4: Simplify right side
    100,314.48x = 8,057,312,325.96
  5. Step 5: Solve for x
    x = 8,057,312,325.96/100,314.48
  6. Step 6: Final answer
    x = 80,320.53

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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.