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Finding the Fourth Proportional to 55,989.70, 77,262.87 and 34,768.51

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Solution

The fourth proportional to 55,989.70, 77,262.87 and 34,768.51 is: 47,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,989.70 : 77,262.87 = 34,768.51 : x
  2. Step 2: Convert to fraction form
    55,989.70/77,262.87 = 34,768.51/x
  3. Step 3: Cross multiply
    55,989.70x = 77,262.87 × 34,768.51
  4. Step 4: Simplify right side
    55,989.70x = 2,686,314,868.22
  5. Step 5: Solve for x
    x = 2,686,314,868.22/55,989.70
  6. Step 6: Final answer
    x = 47,978.73

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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.