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Finding the Fourth Proportional to 72,978.65, 109,511.21 and 30,856.43

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Solution

The fourth proportional to 72,978.65, 109,511.21 and 30,856.43 is: 46,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,978.65 : 109,511.21 = 30,856.43 : x
  2. Step 2: Convert to fraction form
    72,978.65/109,511.21 = 30,856.43/x
  3. Step 3: Cross multiply
    72,978.65x = 109,511.21 × 30,856.43
  4. Step 4: Simplify right side
    72,978.65x = 3,379,124,985.58
  5. Step 5: Solve for x
    x = 3,379,124,985.58/72,978.65
  6. Step 6: Final answer
    x = 46,302.93

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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.