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Finding the Fourth Proportional to 207,625.68, 286,224.84 and 147,906

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Solution

The fourth proportional to 207,625.68, 286,224.84 and 147,906 is: 203,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,625.68 : 286,224.84 = 147,906 : x
  2. Step 2: Convert to fraction form
    207,625.68/286,224.84 = 147,906/x
  3. Step 3: Cross multiply
    207,625.68x = 286,224.84 × 147,906
  4. Step 4: Simplify right side
    207,625.68x = 42,334,371,185.04
  5. Step 5: Solve for x
    x = 42,334,371,185.04/207,625.68
  6. Step 6: Final answer
    x = 203,897.57

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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.