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Finding the Fourth Proportional to 100,714.77, 138,989.77 and 55,396.25

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Solution

The fourth proportional to 100,714.77, 138,989.77 and 55,396.25 is: 76,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.77 : 138,989.77 = 55,396.25 : x
  2. Step 2: Convert to fraction form
    100,714.77/138,989.77 = 55,396.25/x
  3. Step 3: Cross multiply
    100,714.77x = 138,989.77 × 55,396.25
  4. Step 4: Simplify right side
    100,714.77x = 7,699,512,827.56
  5. Step 5: Solve for x
    x = 7,699,512,827.56/100,714.77
  6. Step 6: Final answer
    x = 76,448.70

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1.5x scale

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.