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Finding the Fourth Proportional to 75,097, 103,635.78 and 45,290.92

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Solution

The fourth proportional to 75,097, 103,635.78 and 45,290.92 is: 62,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,097 : 103,635.78 = 45,290.92 : x
  2. Step 2: Convert to fraction form
    75,097/103,635.78 = 45,290.92/x
  3. Step 3: Cross multiply
    75,097x = 103,635.78 × 45,290.92
  4. Step 4: Simplify right side
    75,097x = 4,693,759,821.12
  5. Step 5: Solve for x
    x = 4,693,759,821.12/75,097
  6. Step 6: Final answer
    x = 62,502.63

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1.5x scale

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.