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Finding the Fourth Proportional to 161,289.40, 241,646.10 and 77,999.80

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Solution

The fourth proportional to 161,289.40, 241,646.10 and 77,999.80 is: 116,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,289.40 : 241,646.10 = 77,999.80 : x
  2. Step 2: Convert to fraction form
    161,289.40/241,646.10 = 77,999.80/x
  3. Step 3: Cross multiply
    161,289.40x = 241,646.10 × 77,999.80
  4. Step 4: Simplify right side
    161,289.40x = 18,848,347,470.78
  5. Step 5: Solve for x
    x = 18,848,347,470.78/161,289.40
  6. Step 6: Final answer
    x = 116,860.42

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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.