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Finding the Fourth Proportional to 213,456, 294,575.16 and 117,968.88

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Solution

The fourth proportional to 213,456, 294,575.16 and 117,968.88 is: 162,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,456 : 294,575.16 = 117,968.88 : x
  2. Step 2: Convert to fraction form
    213,456/294,575.16 = 117,968.88/x
  3. Step 3: Cross multiply
    213,456x = 294,575.16 × 117,968.88
  4. Step 4: Simplify right side
    213,456x = 34,750,701,701.02
  5. Step 5: Solve for x
    x = 34,750,701,701.02/213,456
  6. Step 6: Final answer
    x = 162,800.30

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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.