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Finding the Fourth Proportional to 211,305.81, 291,605.91 and 115,811.82

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Solution

The fourth proportional to 211,305.81, 291,605.91 and 115,811.82 is: 159,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,305.81 : 291,605.91 = 115,811.82 : x
  2. Step 2: Convert to fraction form
    211,305.81/291,605.91 = 115,811.82/x
  3. Step 3: Cross multiply
    211,305.81x = 291,605.91 × 115,811.82
  4. Step 4: Simplify right side
    211,305.81x = 33,771,411,159.86
  5. Step 5: Solve for x
    x = 33,771,411,159.86/211,305.81
  6. Step 6: Final answer
    x = 159,822.44

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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.