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Finding the Fourth Proportional to 210,514.86, 290,510.06 and 115,022.24

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Solution

The fourth proportional to 210,514.86, 290,510.06 and 115,022.24 is: 158,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,514.86 : 290,510.06 = 115,022.24 : x
  2. Step 2: Convert to fraction form
    210,514.86/290,510.06 = 115,022.24/x
  3. Step 3: Cross multiply
    210,514.86x = 290,510.06 × 115,022.24
  4. Step 4: Simplify right side
    210,514.86x = 33,415,117,843.73
  5. Step 5: Solve for x
    x = 33,415,117,843.73/210,514.86
  6. Step 6: Final answer
    x = 158,730.45

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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.