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Finding the Fourth Proportional to 213,141.90, 294,134.22 and 117,648.57

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Solution

The fourth proportional to 213,141.90, 294,134.22 and 117,648.57 is: 162,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,141.90 : 294,134.22 = 117,648.57 : x
  2. Step 2: Convert to fraction form
    213,141.90/294,134.22 = 117,648.57/x
  3. Step 3: Cross multiply
    213,141.90x = 294,134.22 × 117,648.57
  4. Step 4: Simplify right side
    213,141.90x = 34,604,470,371.07
  5. Step 5: Solve for x
    x = 34,604,470,371.07/213,141.90
  6. Step 6: Final answer
    x = 162,354.14

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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.