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Finding the Fourth Proportional to 50,989, 70,368.42 and 28,633

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Solution

The fourth proportional to 50,989, 70,368.42 and 28,633 is: 39,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,989 : 70,368.42 = 28,633 : x
  2. Step 2: Convert to fraction form
    50,989/70,368.42 = 28,633/x
  3. Step 3: Cross multiply
    50,989x = 70,368.42 × 28,633
  4. Step 4: Simplify right side
    50,989x = 2,014,858,969.86
  5. Step 5: Solve for x
    x = 2,014,858,969.86/50,989
  6. Step 6: Final answer
    x = 39,515.56

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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.