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Finding the Fourth Proportional to 51,242, 70,714.08 and 28,886

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Solution

The fourth proportional to 51,242, 70,714.08 and 28,886 is: 39,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,242 : 70,714.08 = 28,886 : x
  2. Step 2: Convert to fraction form
    51,242/70,714.08 = 28,886/x
  3. Step 3: Cross multiply
    51,242x = 70,714.08 × 28,886
  4. Step 4: Simplify right side
    51,242x = 2,042,646,914.88
  5. Step 5: Solve for x
    x = 2,042,646,914.88/51,242
  6. Step 6: Final answer
    x = 39,862.75

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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.