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Finding the Fourth Proportional to 55,900.78, 77,144.80 and 30,409

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Solution

The fourth proportional to 55,900.78, 77,144.80 and 30,409 is: 41,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,900.78 : 77,144.80 = 30,409 : x
  2. Step 2: Convert to fraction form
    55,900.78/77,144.80 = 30,409/x
  3. Step 3: Cross multiply
    55,900.78x = 77,144.80 × 30,409
  4. Step 4: Simplify right side
    55,900.78x = 2,345,896,223.20
  5. Step 5: Solve for x
    x = 2,345,896,223.20/55,900.78
  6. Step 6: Final answer
    x = 41,965.36

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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.