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Finding the Fourth Proportional to 77,223, 106,567.02 and 43,689

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Solution

The fourth proportional to 77,223, 106,567.02 and 43,689 is: 60,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,223 : 106,567.02 = 43,689 : x
  2. Step 2: Convert to fraction form
    77,223/106,567.02 = 43,689/x
  3. Step 3: Cross multiply
    77,223x = 106,567.02 × 43,689
  4. Step 4: Simplify right side
    77,223x = 4,655,806,536.78
  5. Step 5: Solve for x
    x = 4,655,806,536.78/77,223
  6. Step 6: Final answer
    x = 60,290.41

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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.