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Finding the Fourth Proportional to 209,718.94, 289,440.71 and 123,702.22

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Solution

The fourth proportional to 209,718.94, 289,440.71 and 123,702.22 is: 170,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,718.94 : 289,440.71 = 123,702.22 : x
  2. Step 2: Convert to fraction form
    209,718.94/289,440.71 = 123,702.22/x
  3. Step 3: Cross multiply
    209,718.94x = 289,440.71 × 123,702.22
  4. Step 4: Simplify right side
    209,718.94x = 35,804,458,385.38
  5. Step 5: Solve for x
    x = 35,804,458,385.38/209,718.94
  6. Step 6: Final answer
    x = 170,725.92

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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.