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Finding the Fourth Proportional to 50,841, 70,160.58 and 30,969

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Solution

The fourth proportional to 50,841, 70,160.58 and 30,969 is: 42,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,841 : 70,160.58 = 30,969 : x
  2. Step 2: Convert to fraction form
    50,841/70,160.58 = 30,969/x
  3. Step 3: Cross multiply
    50,841x = 70,160.58 × 30,969
  4. Step 4: Simplify right side
    50,841x = 2,172,803,002.02
  5. Step 5: Solve for x
    x = 2,172,803,002.02/50,841
  6. Step 6: Final answer
    x = 42,737.22

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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.