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Finding the Fourth Proportional to 50,254, 75,386.16 and 13,318

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Solution

The fourth proportional to 50,254, 75,386.16 and 13,318 is: 19,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,254 : 75,386.16 = 13,318 : x
  2. Step 2: Convert to fraction form
    50,254/75,386.16 = 13,318/x
  3. Step 3: Cross multiply
    50,254x = 75,386.16 × 13,318
  4. Step 4: Simplify right side
    50,254x = 1,003,992,878.88
  5. Step 5: Solve for x
    x = 1,003,992,878.88/50,254
  6. Step 6: Final answer
    x = 19,978.37

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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.