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Finding the Fourth Proportional to 211,374.16, 316,969.08 and 79,954

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Solution

The fourth proportional to 211,374.16, 316,969.08 and 79,954 is: 119,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,374.16 : 316,969.08 = 79,954 : x
  2. Step 2: Convert to fraction form
    211,374.16/316,969.08 = 79,954/x
  3. Step 3: Cross multiply
    211,374.16x = 316,969.08 × 79,954
  4. Step 4: Simplify right side
    211,374.16x = 25,342,945,822.32
  5. Step 5: Solve for x
    x = 25,342,945,822.32/211,374.16
  6. Step 6: Final answer
    x = 119,896.14

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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.