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Finding the Fourth Proportional to 212,703.89, 318,755.06 and 117,975.81

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Solution

The fourth proportional to 212,703.89, 318,755.06 and 117,975.81 is: 176,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,703.89 : 318,755.06 = 117,975.81 : x
  2. Step 2: Convert to fraction form
    212,703.89/318,755.06 = 117,975.81/x
  3. Step 3: Cross multiply
    212,703.89x = 318,755.06 × 117,975.81
  4. Step 4: Simplify right side
    212,703.89x = 37,605,385,805.22
  5. Step 5: Solve for x
    x = 37,605,385,805.22/212,703.89
  6. Step 6: Final answer
    x = 176,796.89

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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.