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Finding the Fourth Proportional to 36,455, 50,307.91 and 19,688

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Solution

The fourth proportional to 36,455, 50,307.91 and 19,688 is: 27,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,455 : 50,307.91 = 19,688 : x
  2. Step 2: Convert to fraction form
    36,455/50,307.91 = 19,688/x
  3. Step 3: Cross multiply
    36,455x = 50,307.91 × 19,688
  4. Step 4: Simplify right side
    36,455x = 990,462,132.08
  5. Step 5: Solve for x
    x = 990,462,132.08/36,455
  6. Step 6: Final answer
    x = 27,169.45

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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.