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Finding the Fourth Proportional to 120,980.49, 181,507.65 and 61,857.69

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Solution

The fourth proportional to 120,980.49, 181,507.65 and 61,857.69 is: 92,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.49 : 181,507.65 = 61,857.69 : x
  2. Step 2: Convert to fraction form
    120,980.49/181,507.65 = 61,857.69/x
  3. Step 3: Cross multiply
    120,980.49x = 181,507.65 × 61,857.69
  4. Step 4: Simplify right side
    120,980.49x = 11,227,643,946.33
  5. Step 5: Solve for x
    x = 11,227,643,946.33/120,980.49
  6. Step 6: Final answer
    x = 92,805.41

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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.