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Finding the Fourth Proportional to 213,515, 294,650.76 and 116,719.28

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Solution

The fourth proportional to 213,515, 294,650.76 and 116,719.28 is: 161,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,515 : 294,650.76 = 116,719.28 : x
  2. Step 2: Convert to fraction form
    213,515/294,650.76 = 116,719.28/x
  3. Step 3: Cross multiply
    213,515x = 294,650.76 × 116,719.28
  4. Step 4: Simplify right side
    213,515x = 34,391,424,558.65
  5. Step 5: Solve for x
    x = 34,391,424,558.65/213,515
  6. Step 6: Final answer
    x = 161,072.64

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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.