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Finding the Fourth Proportional to 213,145.16, 294,119.34 and 117,645.68

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Solution

The fourth proportional to 213,145.16, 294,119.34 and 117,645.68 is: 162,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.16 : 294,119.34 = 117,645.68 : x
  2. Step 2: Convert to fraction form
    213,145.16/294,119.34 = 117,645.68/x
  3. Step 3: Cross multiply
    213,145.16x = 294,119.34 × 117,645.68
  4. Step 4: Simplify right side
    213,145.16x = 34,601,869,755.45
  5. Step 5: Solve for x
    x = 34,601,869,755.45/213,145.16
  6. Step 6: Final answer
    x = 162,339.46

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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.