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Finding the Fourth Proportional to 82,969.80, 114,491.52 and 47,151.60

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Solution

The fourth proportional to 82,969.80, 114,491.52 and 47,151.60 is: 65,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,969.80 : 114,491.52 = 47,151.60 : x
  2. Step 2: Convert to fraction form
    82,969.80/114,491.52 = 47,151.60/x
  3. Step 3: Cross multiply
    82,969.80x = 114,491.52 × 47,151.60
  4. Step 4: Simplify right side
    82,969.80x = 5,398,458,354.43
  5. Step 5: Solve for x
    x = 5,398,458,354.43/82,969.80
  6. Step 6: Final answer
    x = 65,065.34

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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.