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Finding the Fourth Proportional to 212,602.32, 293,391.20 and 117,109

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Solution

The fourth proportional to 212,602.32, 293,391.20 and 117,109 is: 161,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,602.32 : 293,391.20 = 117,109 : x
  2. Step 2: Convert to fraction form
    212,602.32/293,391.20 = 117,109/x
  3. Step 3: Cross multiply
    212,602.32x = 293,391.20 × 117,109
  4. Step 4: Simplify right side
    212,602.32x = 34,358,750,040.80
  5. Step 5: Solve for x
    x = 34,358,750,040.80/212,602.32
  6. Step 6: Final answer
    x = 161,610.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.