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Finding the Fourth Proportional to 55,989, 77,266.44 and 30,840.12

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Solution

The fourth proportional to 55,989, 77,266.44 and 30,840.12 is: 42,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,989 : 77,266.44 = 30,840.12 : x
  2. Step 2: Convert to fraction form
    55,989/77,266.44 = 30,840.12/x
  3. Step 3: Cross multiply
    55,989x = 77,266.44 × 30,840.12
  4. Step 4: Simplify right side
    55,989x = 2,382,906,281.57
  5. Step 5: Solve for x
    x = 2,382,906,281.57/55,989
  6. Step 6: Final answer
    x = 42,560.26

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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.