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Finding the Fourth Proportional to 105,674.09, 145,845.14 and 65,400.80

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Solution

The fourth proportional to 105,674.09, 145,845.14 and 65,400.80 is: 90,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,674.09 : 145,845.14 = 65,400.80 : x
  2. Step 2: Convert to fraction form
    105,674.09/145,845.14 = 65,400.80/x
  3. Step 3: Cross multiply
    105,674.09x = 145,845.14 × 65,400.80
  4. Step 4: Simplify right side
    105,674.09x = 9,538,387,775.88
  5. Step 5: Solve for x
    x = 9,538,387,775.88/105,674.09
  6. Step 6: Final answer
    x = 90,262.32

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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.