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Finding the Fourth Proportional to 210,514.55, 290,509.64 and 115,021.92

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Solution

The fourth proportional to 210,514.55, 290,509.64 and 115,021.92 is: 158,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,514.55 : 290,509.64 = 115,021.92 : x
  2. Step 2: Convert to fraction form
    210,514.55/290,509.64 = 115,021.92/x
  3. Step 3: Cross multiply
    210,514.55x = 290,509.64 × 115,021.92
  4. Step 4: Simplify right side
    210,514.55x = 33,414,977,516.94
  5. Step 5: Solve for x
    x = 33,414,977,516.94/210,514.55
  6. Step 6: Final answer
    x = 158,730.02

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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.