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Finding the Fourth Proportional to 81,752.58, 112,814.91 and 47,764.20

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Solution

The fourth proportional to 81,752.58, 112,814.91 and 47,764.20 is: 65,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,752.58 : 112,814.91 = 47,764.20 : x
  2. Step 2: Convert to fraction form
    81,752.58/112,814.91 = 47,764.20/x
  3. Step 3: Cross multiply
    81,752.58x = 112,814.91 × 47,764.20
  4. Step 4: Simplify right side
    81,752.58x = 5,388,513,924.22
  5. Step 5: Solve for x
    x = 5,388,513,924.22/81,752.58
  6. Step 6: Final answer
    x = 65,912.46

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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.