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Finding the Fourth Proportional to 213,687.32, 294,862.62 and 118,181

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Solution

The fourth proportional to 213,687.32, 294,862.62 and 118,181 is: 163,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,687.32 : 294,862.62 = 118,181 : x
  2. Step 2: Convert to fraction form
    213,687.32/294,862.62 = 118,181/x
  3. Step 3: Cross multiply
    213,687.32x = 294,862.62 × 118,181
  4. Step 4: Simplify right side
    213,687.32x = 34,847,159,294.22
  5. Step 5: Solve for x
    x = 34,847,159,294.22/213,687.32
  6. Step 6: Final answer
    x = 163,075.47

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Why These Related Problems?

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