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Finding the Fourth Proportional to 121,097.31, 181,675.13 and 37,991.31

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Solution

The fourth proportional to 121,097.31, 181,675.13 and 37,991.31 is: 56,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,097.31 : 181,675.13 = 37,991.31 : x
  2. Step 2: Convert to fraction form
    121,097.31/181,675.13 = 37,991.31/x
  3. Step 3: Cross multiply
    121,097.31x = 181,675.13 × 37,991.31
  4. Step 4: Simplify right side
    121,097.31x = 6,902,075,993.16
  5. Step 5: Solve for x
    x = 6,902,075,993.16/121,097.31
  6. Step 6: Final answer
    x = 56,996.11

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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.