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Finding the Fourth Proportional to 210,881.86, 291,004.78 and 115,390.42

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Solution

The fourth proportional to 210,881.86, 291,004.78 and 115,390.42 is: 159,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,881.86 : 291,004.78 = 115,390.42 : x
  2. Step 2: Convert to fraction form
    210,881.86/291,004.78 = 115,390.42/x
  3. Step 3: Cross multiply
    210,881.86x = 291,004.78 × 115,390.42
  4. Step 4: Simplify right side
    210,881.86x = 33,579,163,786.21
  5. Step 5: Solve for x
    x = 33,579,163,786.21/210,881.86
  6. Step 6: Final answer
    x = 159,232.11

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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.