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Finding the Fourth Proportional to 121,342.60, 181,970.70 and 54,814.60

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Solution

The fourth proportional to 121,342.60, 181,970.70 and 54,814.60 is: 82,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,342.60 : 181,970.70 = 54,814.60 : x
  2. Step 2: Convert to fraction form
    121,342.60/181,970.70 = 54,814.60/x
  3. Step 3: Cross multiply
    121,342.60x = 181,970.70 × 54,814.60
  4. Step 4: Simplify right side
    121,342.60x = 9,974,651,132.22
  5. Step 5: Solve for x
    x = 9,974,651,132.22/121,342.60
  6. Step 6: Final answer
    x = 82,202.39

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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.