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Finding the Fourth Proportional to 51,234, 70,702.92 and 28,878

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Solution

The fourth proportional to 51,234, 70,702.92 and 28,878 is: 39,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234 : 70,702.92 = 28,878 : x
  2. Step 2: Convert to fraction form
    51,234/70,702.92 = 28,878/x
  3. Step 3: Cross multiply
    51,234x = 70,702.92 × 28,878
  4. Step 4: Simplify right side
    51,234x = 2,041,758,923.76
  5. Step 5: Solve for x
    x = 2,041,758,923.76/51,234
  6. Step 6: Final answer
    x = 39,851.64

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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.