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Finding the Fourth Proportional to 121,290.70, 181,936.05 and 54,762.70

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Solution

The fourth proportional to 121,290.70, 181,936.05 and 54,762.70 is: 82,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,290.70 : 181,936.05 = 54,762.70 : x
  2. Step 2: Convert to fraction form
    121,290.70/181,936.05 = 54,762.70/x
  3. Step 3: Cross multiply
    121,290.70x = 181,936.05 × 54,762.70
  4. Step 4: Simplify right side
    121,290.70x = 9,963,309,325.34
  5. Step 5: Solve for x
    x = 9,963,309,325.34/121,290.70
  6. Step 6: Final answer
    x = 82,144.05

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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.