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Finding the Fourth Proportional to 51,433.86, 70,978.35 and 28,772.76

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Solution

The fourth proportional to 51,433.86, 70,978.35 and 28,772.76 is: 39,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433.86 : 70,978.35 = 28,772.76 : x
  2. Step 2: Convert to fraction form
    51,433.86/70,978.35 = 28,772.76/x
  3. Step 3: Cross multiply
    51,433.86x = 70,978.35 × 28,772.76
  4. Step 4: Simplify right side
    51,433.86x = 2,042,243,029.75
  5. Step 5: Solve for x
    x = 2,042,243,029.75/51,433.86
  6. Step 6: Final answer
    x = 39,706.20

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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.