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Finding the Fourth Proportional to 105,394.49, 145,491.84 and 67,205.23

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Solution

The fourth proportional to 105,394.49, 145,491.84 and 67,205.23 is: 92,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,394.49 : 145,491.84 = 67,205.23 : x
  2. Step 2: Convert to fraction form
    105,394.49/145,491.84 = 67,205.23/x
  3. Step 3: Cross multiply
    105,394.49x = 145,491.84 × 67,205.23
  4. Step 4: Simplify right side
    105,394.49x = 9,777,812,570.32
  5. Step 5: Solve for x
    x = 9,777,812,570.32/105,394.49
  6. Step 6: Final answer
    x = 92,773.47

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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.