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Finding the Fourth Proportional to 210,978.47, 291,170.09 and 126,093.71

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Solution

The fourth proportional to 210,978.47, 291,170.09 and 126,093.71 is: 174,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,978.47 : 291,170.09 = 126,093.71 : x
  2. Step 2: Convert to fraction form
    210,978.47/291,170.09 = 126,093.71/x
  3. Step 3: Cross multiply
    210,978.47x = 291,170.09 × 126,093.71
  4. Step 4: Simplify right side
    210,978.47x = 36,714,716,889.13
  5. Step 5: Solve for x
    x = 36,714,716,889.13/210,978.47
  6. Step 6: Final answer
    x = 174,021.15

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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.