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Finding the Fourth Proportional to 221,953.47, 306,314.54 and 135,912.03

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Solution

The fourth proportional to 221,953.47, 306,314.54 and 135,912.03 is: 187,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,953.47 : 306,314.54 = 135,912.03 : x
  2. Step 2: Convert to fraction form
    221,953.47/306,314.54 = 135,912.03/x
  3. Step 3: Cross multiply
    221,953.47x = 306,314.54 × 135,912.03
  4. Step 4: Simplify right side
    221,953.47x = 41,631,830,949.92
  5. Step 5: Solve for x
    x = 41,631,830,949.92/221,953.47
  6. Step 6: Final answer
    x = 187,570.08

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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.