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Finding the Fourth Proportional to 209,049.51, 287,960.81 and 168,650.15

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Solution

The fourth proportional to 209,049.51, 287,960.81 and 168,650.15 is: 232,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,049.51 : 287,960.81 = 168,650.15 : x
  2. Step 2: Convert to fraction form
    209,049.51/287,960.81 = 168,650.15/x
  3. Step 3: Cross multiply
    209,049.51x = 287,960.81 × 168,650.15
  4. Step 4: Simplify right side
    209,049.51x = 48,564,633,502.34
  5. Step 5: Solve for x
    x = 48,564,633,502.34/209,049.51
  6. Step 6: Final answer
    x = 232,311.64

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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.