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Finding the Fourth Proportional to 210,233.76, 290,120.32 and 114,739.68

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Solution

The fourth proportional to 210,233.76, 290,120.32 and 114,739.68 is: 158,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,233.76 : 290,120.32 = 114,739.68 : x
  2. Step 2: Convert to fraction form
    210,233.76/290,120.32 = 114,739.68/x
  3. Step 3: Cross multiply
    210,233.76x = 290,120.32 × 114,739.68
  4. Step 4: Simplify right side
    210,233.76x = 33,288,312,678.30
  5. Step 5: Solve for x
    x = 33,288,312,678.30/210,233.76
  6. Step 6: Final answer
    x = 158,339.52

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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.