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Finding the Fourth Proportional to 121,144.06, 181,723.40 and 38,038.06

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Solution

The fourth proportional to 121,144.06, 181,723.40 and 38,038.06 is: 57,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,144.06 : 181,723.40 = 38,038.06 : x
  2. Step 2: Convert to fraction form
    121,144.06/181,723.40 = 38,038.06/x
  3. Step 3: Cross multiply
    121,144.06x = 181,723.40 × 38,038.06
  4. Step 4: Simplify right side
    121,144.06x = 6,912,405,592.60
  5. Step 5: Solve for x
    x = 6,912,405,592.60/121,144.06
  6. Step 6: Final answer
    x = 57,059.39

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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.