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Finding the Fourth Proportional to 145,632.44, 200,969.43 and 81,969.68

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Solution

The fourth proportional to 145,632.44, 200,969.43 and 81,969.68 is: 113,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,632.44 : 200,969.43 = 81,969.68 : x
  2. Step 2: Convert to fraction form
    145,632.44/200,969.43 = 81,969.68/x
  3. Step 3: Cross multiply
    145,632.44x = 200,969.43 × 81,969.68
  4. Step 4: Simplify right side
    145,632.44x = 16,473,399,866.88
  5. Step 5: Solve for x
    x = 16,473,399,866.88/145,632.44
  6. Step 6: Final answer
    x = 113,116.28

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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.