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Finding the Fourth Proportional to 75,373.48, 113,059.74 and 19,969

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Solution

The fourth proportional to 75,373.48, 113,059.74 and 19,969 is: 29,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,373.48 : 113,059.74 = 19,969 : x
  2. Step 2: Convert to fraction form
    75,373.48/113,059.74 = 19,969/x
  3. Step 3: Cross multiply
    75,373.48x = 113,059.74 × 19,969
  4. Step 4: Simplify right side
    75,373.48x = 2,257,689,948.06
  5. Step 5: Solve for x
    x = 2,257,689,948.06/75,373.48
  6. Step 6: Final answer
    x = 29,953.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.