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Finding the Fourth Proportional to 55,643.22, 76,745.76 and 38,647.50

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Solution

The fourth proportional to 55,643.22, 76,745.76 and 38,647.50 is: 53,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.22 : 76,745.76 = 38,647.50 : x
  2. Step 2: Convert to fraction form
    55,643.22/76,745.76 = 38,647.50/x
  3. Step 3: Cross multiply
    55,643.22x = 76,745.76 × 38,647.50
  4. Step 4: Simplify right side
    55,643.22x = 2,966,031,759.60
  5. Step 5: Solve for x
    x = 2,966,031,759.60/55,643.22
  6. Step 6: Final answer
    x = 53,304.46

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1.5x scale

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.