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Finding the Fourth Proportional to 213,173.88, 319,643.30 and 86,781.76

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Solution

The fourth proportional to 213,173.88, 319,643.30 and 86,781.76 is: 130,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,173.88 : 319,643.30 = 86,781.76 : x
  2. Step 2: Convert to fraction form
    213,173.88/319,643.30 = 86,781.76/x
  3. Step 3: Cross multiply
    213,173.88x = 319,643.30 × 86,781.76
  4. Step 4: Simplify right side
    213,173.88x = 27,739,208,146.21
  5. Step 5: Solve for x
    x = 27,739,208,146.21/213,173.88
  6. Step 6: Final answer
    x = 130,124.80

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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.