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Finding the Fourth Proportional to 51,070, 70,476.60 and 28,714

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Solution

The fourth proportional to 51,070, 70,476.60 and 28,714 is: 39,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,070 : 70,476.60 = 28,714 : x
  2. Step 2: Convert to fraction form
    51,070/70,476.60 = 28,714/x
  3. Step 3: Cross multiply
    51,070x = 70,476.60 × 28,714
  4. Step 4: Simplify right side
    51,070x = 2,023,665,092.40
  5. Step 5: Solve for x
    x = 2,023,665,092.40/51,070
  6. Step 6: Final answer
    x = 39,625.32

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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.