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Finding the Fourth Proportional to 213,516.70, 294,640.38 and 118,017.70

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Solution

The fourth proportional to 213,516.70, 294,640.38 and 118,017.70 is: 162,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,516.70 : 294,640.38 = 118,017.70 : x
  2. Step 2: Convert to fraction form
    213,516.70/294,640.38 = 118,017.70/x
  3. Step 3: Cross multiply
    213,516.70x = 294,640.38 × 118,017.70
  4. Step 4: Simplify right side
    213,516.70x = 34,772,779,974.73
  5. Step 5: Solve for x
    x = 34,772,779,974.73/213,516.70
  6. Step 6: Final answer
    x = 162,857.43

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1.5x scale

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.