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Finding the Fourth Proportional to 211,300.56, 316,968.12 and 86,642.64

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Solution

The fourth proportional to 211,300.56, 316,968.12 and 86,642.64 is: 129,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,300.56 : 316,968.12 = 86,642.64 : x
  2. Step 2: Convert to fraction form
    211,300.56/316,968.12 = 86,642.64/x
  3. Step 3: Cross multiply
    211,300.56x = 316,968.12 × 86,642.64
  4. Step 4: Simplify right side
    211,300.56x = 27,462,954,712.64
  5. Step 5: Solve for x
    x = 27,462,954,712.64/211,300.56
  6. Step 6: Final answer
    x = 129,971.05

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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.