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Finding the Fourth Proportional to 60,379.76, 90,569.64 and 18,830

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Solution

The fourth proportional to 60,379.76, 90,569.64 and 18,830 is: 28,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,379.76 : 90,569.64 = 18,830 : x
  2. Step 2: Convert to fraction form
    60,379.76/90,569.64 = 18,830/x
  3. Step 3: Cross multiply
    60,379.76x = 90,569.64 × 18,830
  4. Step 4: Simplify right side
    60,379.76x = 1,705,426,321.20
  5. Step 5: Solve for x
    x = 1,705,426,321.20/60,379.76
  6. Step 6: Final answer
    x = 28,245

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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.