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Finding the Fourth Proportional to 105,427.22, 145,578.22 and 75,304.94

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Solution

The fourth proportional to 105,427.22, 145,578.22 and 75,304.94 is: 103,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,427.22 : 145,578.22 = 75,304.94 : x
  2. Step 2: Convert to fraction form
    105,427.22/145,578.22 = 75,304.94/x
  3. Step 3: Cross multiply
    105,427.22x = 145,578.22 × 75,304.94
  4. Step 4: Simplify right side
    105,427.22x = 10,962,759,122.41
  5. Step 5: Solve for x
    x = 10,962,759,122.41/105,427.22
  6. Step 6: Final answer
    x = 103,984.14

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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.