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Finding the Fourth Proportional to 213,586.92, 294,718.32 and 121,707

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Solution

The fourth proportional to 213,586.92, 294,718.32 and 121,707 is: 167,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,586.92 : 294,718.32 = 121,707 : x
  2. Step 2: Convert to fraction form
    213,586.92/294,718.32 = 121,707/x
  3. Step 3: Cross multiply
    213,586.92x = 294,718.32 × 121,707
  4. Step 4: Simplify right side
    213,586.92x = 35,869,282,572.24
  5. Step 5: Solve for x
    x = 35,869,282,572.24/213,586.92
  6. Step 6: Final answer
    x = 167,937.64

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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.