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Finding the Fourth Proportional to 211,301.56, 316,969.62 and 86,643.64

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Solution

The fourth proportional to 211,301.56, 316,969.62 and 86,643.64 is: 129,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,301.56 : 316,969.62 = 86,643.64 : x
  2. Step 2: Convert to fraction form
    211,301.56/316,969.62 = 86,643.64/x
  3. Step 3: Cross multiply
    211,301.56x = 316,969.62 × 86,643.64
  4. Step 4: Simplify right side
    211,301.56x = 27,463,401,646.22
  5. Step 5: Solve for x
    x = 27,463,401,646.22/211,301.56
  6. Step 6: Final answer
    x = 129,972.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.