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Finding the Fourth Proportional to 213,157.59, 319,548.27 and 86,903.44

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Solution

The fourth proportional to 213,157.59, 319,548.27 and 86,903.44 is: 130,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,157.59 : 319,548.27 = 86,903.44 : x
  2. Step 2: Convert to fraction form
    213,157.59/319,548.27 = 86,903.44/x
  3. Step 3: Cross multiply
    213,157.59x = 319,548.27 × 86,903.44
  4. Step 4: Simplify right side
    213,157.59x = 27,769,844,949.64
  5. Step 5: Solve for x
    x = 27,769,844,949.64/213,157.59
  6. Step 6: Final answer
    x = 130,278.47

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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.