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Finding the Fourth Proportional to 213,065.17, 319,719.86 and 86,682.08

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Solution

The fourth proportional to 213,065.17, 319,719.86 and 86,682.08 is: 130,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.17 : 319,719.86 = 86,682.08 : x
  2. Step 2: Convert to fraction form
    213,065.17/319,719.86 = 86,682.08/x
  3. Step 3: Cross multiply
    213,065.17x = 319,719.86 × 86,682.08
  4. Step 4: Simplify right side
    213,065.17x = 27,713,982,482.11
  5. Step 5: Solve for x
    x = 27,713,982,482.11/213,065.17
  6. Step 6: Final answer
    x = 130,072.80

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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.