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Finding the Fourth Proportional to 211,063.94, 291,268.71 and 114,268.81

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Solution

The fourth proportional to 211,063.94, 291,268.71 and 114,268.81 is: 157,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,063.94 : 291,268.71 = 114,268.81 : x
  2. Step 2: Convert to fraction form
    211,063.94/291,268.71 = 114,268.81/x
  3. Step 3: Cross multiply
    211,063.94x = 291,268.71 × 114,268.81
  4. Step 4: Simplify right side
    211,063.94x = 33,282,929,421.07
  5. Step 5: Solve for x
    x = 33,282,929,421.07/211,063.94
  6. Step 6: Final answer
    x = 157,691.22

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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.