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Finding the Fourth Proportional to 210,221.50, 290,111.82 and 114,734.32

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Solution

The fourth proportional to 210,221.50, 290,111.82 and 114,734.32 is: 158,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,221.50 : 290,111.82 = 114,734.32 : x
  2. Step 2: Convert to fraction form
    210,221.50/290,111.82 = 114,734.32/x
  3. Step 3: Cross multiply
    210,221.50x = 290,111.82 × 114,734.32
  4. Step 4: Simplify right side
    210,221.50x = 33,285,782,391.66
  5. Step 5: Solve for x
    x = 33,285,782,391.66/210,221.50
  6. Step 6: Final answer
    x = 158,336.72

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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.