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Finding the Fourth Proportional to 213,602.12, 294,771 and 121,718.78

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Solution

The fourth proportional to 213,602.12, 294,771 and 121,718.78 is: 167,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,602.12 : 294,771 = 121,718.78 : x
  2. Step 2: Convert to fraction form
    213,602.12/294,771 = 121,718.78/x
  3. Step 3: Cross multiply
    213,602.12x = 294,771 × 121,718.78
  4. Step 4: Simplify right side
    213,602.12x = 35,879,165,025.53
  5. Step 5: Solve for x
    x = 35,879,165,025.53/213,602.12
  6. Step 6: Final answer
    x = 167,971.95

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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.