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Finding the Fourth Proportional to 210,216.50, 290,104.92 and 114,729.32

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Solution

The fourth proportional to 210,216.50, 290,104.92 and 114,729.32 is: 158,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,216.50 : 290,104.92 = 114,729.32 : x
  2. Step 2: Convert to fraction form
    210,216.50/290,104.92 = 114,729.32/x
  3. Step 3: Cross multiply
    210,216.50x = 290,104.92 × 114,729.32
  4. Step 4: Simplify right side
    210,216.50x = 33,283,540,200.25
  5. Step 5: Solve for x
    x = 33,283,540,200.25/210,216.50
  6. Step 6: Final answer
    x = 158,329.82

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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.