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Finding the Fourth Proportional to 40,978.06, 56,545.57 and 30,228.78

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Solution

The fourth proportional to 40,978.06, 56,545.57 and 30,228.78 is: 41,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,978.06 : 56,545.57 = 30,228.78 : x
  2. Step 2: Convert to fraction form
    40,978.06/56,545.57 = 30,228.78/x
  3. Step 3: Cross multiply
    40,978.06x = 56,545.57 × 30,228.78
  4. Step 4: Simplify right side
    40,978.06x = 1,709,303,680.80
  5. Step 5: Solve for x
    x = 1,709,303,680.80/40,978.06
  6. Step 6: Final answer
    x = 41,712.66

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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.