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Finding the Fourth Proportional to 51,809.82, 77,714.73 and 20,645.34

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Solution

The fourth proportional to 51,809.82, 77,714.73 and 20,645.34 is: 30,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.82 : 77,714.73 = 20,645.34 : x
  2. Step 2: Convert to fraction form
    51,809.82/77,714.73 = 20,645.34/x
  3. Step 3: Cross multiply
    51,809.82x = 77,714.73 × 20,645.34
  4. Step 4: Simplify right side
    51,809.82x = 1,604,447,023.86
  5. Step 5: Solve for x
    x = 1,604,447,023.86/51,809.82
  6. Step 6: Final answer
    x = 30,968.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.