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Finding the Fourth Proportional to 211,159.86, 291,400.68 and 115,668.12

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Solution

The fourth proportional to 211,159.86, 291,400.68 and 115,668.12 is: 159,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,159.86 : 291,400.68 = 115,668.12 : x
  2. Step 2: Convert to fraction form
    211,159.86/291,400.68 = 115,668.12/x
  3. Step 3: Cross multiply
    211,159.86x = 291,400.68 × 115,668.12
  4. Step 4: Simplify right side
    211,159.86x = 33,705,768,822.32
  5. Step 5: Solve for x
    x = 33,705,768,822.32/211,159.86
  6. Step 6: Final answer
    x = 159,622.05

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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.