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Finding the Fourth Proportional to 213,490, 294,615.12 and 117,995.86

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Solution

The fourth proportional to 213,490, 294,615.12 and 117,995.86 is: 162,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,490 : 294,615.12 = 117,995.86 : x
  2. Step 2: Convert to fraction form
    213,490/294,615.12 = 117,995.86/x
  3. Step 3: Cross multiply
    213,490x = 294,615.12 × 117,995.86
  4. Step 4: Simplify right side
    213,490x = 34,763,364,453.40
  5. Step 5: Solve for x
    x = 34,763,364,453.40/213,490
  6. Step 6: Final answer
    x = 162,833.69

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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.