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Finding the Fourth Proportional to 51,054, 70,454.52 and 28,698

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Solution

The fourth proportional to 51,054, 70,454.52 and 28,698 is: 39,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,054 : 70,454.52 = 28,698 : x
  2. Step 2: Convert to fraction form
    51,054/70,454.52 = 28,698/x
  3. Step 3: Cross multiply
    51,054x = 70,454.52 × 28,698
  4. Step 4: Simplify right side
    51,054x = 2,021,903,814.96
  5. Step 5: Solve for x
    x = 2,021,903,814.96/51,054
  6. Step 6: Final answer
    x = 39,603.24

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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.