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Finding the Fourth Proportional to 208,197.61, 287,301.80 and 122,144.63

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Solution

The fourth proportional to 208,197.61, 287,301.80 and 122,144.63 is: 168,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,197.61 : 287,301.80 = 122,144.63 : x
  2. Step 2: Convert to fraction form
    208,197.61/287,301.80 = 122,144.63/x
  3. Step 3: Cross multiply
    208,197.61x = 287,301.80 × 122,144.63
  4. Step 4: Simplify right side
    208,197.61x = 35,092,370,928.19
  5. Step 5: Solve for x
    x = 35,092,370,928.19/208,197.61
  6. Step 6: Final answer
    x = 168,553.19

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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.