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Finding the Fourth Proportional to 82,127.40, 123,239.70 and 54,128.40

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Solution

The fourth proportional to 82,127.40, 123,239.70 and 54,128.40 is: 81,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,127.40 : 123,239.70 = 54,128.40 : x
  2. Step 2: Convert to fraction form
    82,127.40/123,239.70 = 54,128.40/x
  3. Step 3: Cross multiply
    82,127.40x = 123,239.70 × 54,128.40
  4. Step 4: Simplify right side
    82,127.40x = 6,670,767,777.48
  5. Step 5: Solve for x
    x = 6,670,767,777.48/82,127.40
  6. Step 6: Final answer
    x = 81,224.63

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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.