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Finding the Fourth Proportional to 58,681.20, 80,980.80 and 31,824

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Solution

The fourth proportional to 58,681.20, 80,980.80 and 31,824 is: 43,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,681.20 : 80,980.80 = 31,824 : x
  2. Step 2: Convert to fraction form
    58,681.20/80,980.80 = 31,824/x
  3. Step 3: Cross multiply
    58,681.20x = 80,980.80 × 31,824
  4. Step 4: Simplify right side
    58,681.20x = 2,577,132,979.20
  5. Step 5: Solve for x
    x = 2,577,132,979.20/58,681.20
  6. Step 6: Final answer
    x = 43,917.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.