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Finding the Fourth Proportional to 48,656.80, 72,978.93 and 15,380.23

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Solution

The fourth proportional to 48,656.80, 72,978.93 and 15,380.23 is: 23,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656.80 : 72,978.93 = 15,380.23 : x
  2. Step 2: Convert to fraction form
    48,656.80/72,978.93 = 15,380.23/x
  3. Step 3: Cross multiply
    48,656.80x = 72,978.93 × 15,380.23
  4. Step 4: Simplify right side
    48,656.80x = 1,122,432,651.65
  5. Step 5: Solve for x
    x = 1,122,432,651.65/48,656.80
  6. Step 6: Final answer
    x = 23,068.36

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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.