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Finding the Fourth Proportional to 75,173, 103,738.74 and 45,365

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Solution

The fourth proportional to 75,173, 103,738.74 and 45,365 is: 62,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,173 : 103,738.74 = 45,365 : x
  2. Step 2: Convert to fraction form
    75,173/103,738.74 = 45,365/x
  3. Step 3: Cross multiply
    75,173x = 103,738.74 × 45,365
  4. Step 4: Simplify right side
    75,173x = 4,706,107,940.10
  5. Step 5: Solve for x
    x = 4,706,107,940.10/75,173
  6. Step 6: Final answer
    x = 62,603.70

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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.