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Finding the Fourth Proportional to 145,220.10, 217,836.55 and 82,039.30

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Solution

The fourth proportional to 145,220.10, 217,836.55 and 82,039.30 is: 123,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220.10 : 217,836.55 = 82,039.30 : x
  2. Step 2: Convert to fraction form
    145,220.10/217,836.55 = 82,039.30/x
  3. Step 3: Cross multiply
    145,220.10x = 217,836.55 × 82,039.30
  4. Step 4: Simplify right side
    145,220.10x = 17,871,158,076.42
  5. Step 5: Solve for x
    x = 17,871,158,076.42/145,220.10
  6. Step 6: Final answer
    x = 123,062.57

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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.