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Finding the Fourth Proportional to 213,274.76, 319,822.80 and 86,829

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Solution

The fourth proportional to 213,274.76, 319,822.80 and 86,829 is: 130,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,274.76 : 319,822.80 = 86,829 : x
  2. Step 2: Convert to fraction form
    213,274.76/319,822.80 = 86,829/x
  3. Step 3: Cross multiply
    213,274.76x = 319,822.80 × 86,829
  4. Step 4: Simplify right side
    213,274.76x = 27,769,893,901.20
  5. Step 5: Solve for x
    x = 27,769,893,901.20/213,274.76
  6. Step 6: Final answer
    x = 130,207.13

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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.