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Finding the Fourth Proportional to 213,147.16, 294,122.10 and 117,647.68

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Solution

The fourth proportional to 213,147.16, 294,122.10 and 117,647.68 is: 162,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.16 : 294,122.10 = 117,647.68 : x
  2. Step 2: Convert to fraction form
    213,147.16/294,122.10 = 117,647.68/x
  3. Step 3: Cross multiply
    213,147.16x = 294,122.10 × 117,647.68
  4. Step 4: Simplify right side
    213,147.16x = 34,602,782,701.73
  5. Step 5: Solve for x
    x = 34,602,782,701.73/213,147.16
  6. Step 6: Final answer
    x = 162,342.22

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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.