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Finding the Fourth Proportional to 58,302.80, 87,456.94 and 18,863

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Solution

The fourth proportional to 58,302.80, 87,456.94 and 18,863 is: 28,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,302.80 : 87,456.94 = 18,863 : x
  2. Step 2: Convert to fraction form
    58,302.80/87,456.94 = 18,863/x
  3. Step 3: Cross multiply
    58,302.80x = 87,456.94 × 18,863
  4. Step 4: Simplify right side
    58,302.80x = 1,649,700,259.22
  5. Step 5: Solve for x
    x = 1,649,700,259.22/58,302.80
  6. Step 6: Final answer
    x = 28,295.39

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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.