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Finding the Fourth Proportional to 213,816.78, 320,726.56 and 56,043.88

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Solution

The fourth proportional to 213,816.78, 320,726.56 and 56,043.88 is: 84,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,816.78 : 320,726.56 = 56,043.88 : x
  2. Step 2: Convert to fraction form
    213,816.78/320,726.56 = 56,043.88/x
  3. Step 3: Cross multiply
    213,816.78x = 320,726.56 × 56,043.88
  4. Step 4: Simplify right side
    213,816.78x = 17,974,760,841.45
  5. Step 5: Solve for x
    x = 17,974,760,841.45/213,816.78
  6. Step 6: Final answer
    x = 84,066.18

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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.