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Finding the Fourth Proportional to 212,874.40, 293,768.72 and 117,384.48

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Solution

The fourth proportional to 212,874.40, 293,768.72 and 117,384.48 is: 161,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,874.40 : 293,768.72 = 117,384.48 : x
  2. Step 2: Convert to fraction form
    212,874.40/293,768.72 = 117,384.48/x
  3. Step 3: Cross multiply
    212,874.40x = 293,768.72 × 117,384.48
  4. Step 4: Simplify right side
    212,874.40x = 34,483,888,437.47
  5. Step 5: Solve for x
    x = 34,483,888,437.47/212,874.40
  6. Step 6: Final answer
    x = 161,991.71

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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.