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Finding the Fourth Proportional to 48,581, 72,871.49 and 18,978.07

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Solution

The fourth proportional to 48,581, 72,871.49 and 18,978.07 is: 28,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,581 : 72,871.49 = 18,978.07 : x
  2. Step 2: Convert to fraction form
    48,581/72,871.49 = 18,978.07/x
  3. Step 3: Cross multiply
    48,581x = 72,871.49 × 18,978.07
  4. Step 4: Simplify right side
    48,581x = 1,382,960,238.22
  5. Step 5: Solve for x
    x = 1,382,960,238.22/48,581
  6. Step 6: Final answer
    x = 28,467.10

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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.