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Finding the Fourth Proportional to 65,287.21, 89,509.58 and 64,106.23

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Solution

The fourth proportional to 65,287.21, 89,509.58 and 64,106.23 is: 87,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287.21 : 89,509.58 = 64,106.23 : x
  2. Step 2: Convert to fraction form
    65,287.21/89,509.58 = 64,106.23/x
  3. Step 3: Cross multiply
    65,287.21x = 89,509.58 × 64,106.23
  4. Step 4: Simplify right side
    65,287.21x = 5,738,121,722.68
  5. Step 5: Solve for x
    x = 5,738,121,722.68/65,287.21
  6. Step 6: Final answer
    x = 87,890.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.