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Finding the Fourth Proportional to 210,825.66, 290,946.54 and 115,332.33

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Solution

The fourth proportional to 210,825.66, 290,946.54 and 115,332.33 is: 159,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,825.66 : 290,946.54 = 115,332.33 : x
  2. Step 2: Convert to fraction form
    210,825.66/290,946.54 = 115,332.33/x
  3. Step 3: Cross multiply
    210,825.66x = 290,946.54 × 115,332.33
  4. Step 4: Simplify right side
    210,825.66x = 33,555,542,363.64
  5. Step 5: Solve for x
    x = 33,555,542,363.64/210,825.66
  6. Step 6: Final answer
    x = 159,162.52

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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.