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Finding the Fourth Proportional to 105,513.58, 145,610.58 and 65,226.34

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Solution

The fourth proportional to 105,513.58, 145,610.58 and 65,226.34 is: 90,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513.58 : 145,610.58 = 65,226.34 : x
  2. Step 2: Convert to fraction form
    105,513.58/145,610.58 = 65,226.34/x
  3. Step 3: Cross multiply
    105,513.58x = 145,610.58 × 65,226.34
  4. Step 4: Simplify right side
    105,513.58x = 9,497,645,198.68
  5. Step 5: Solve for x
    x = 9,497,645,198.68/105,513.58
  6. Step 6: Final answer
    x = 90,013.49

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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.