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Finding the Fourth Proportional to 100,112.96, 138,186.72 and 57,699.80

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Solution

The fourth proportional to 100,112.96, 138,186.72 and 57,699.80 is: 79,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,112.96 : 138,186.72 = 57,699.80 : x
  2. Step 2: Convert to fraction form
    100,112.96/138,186.72 = 57,699.80/x
  3. Step 3: Cross multiply
    100,112.96x = 138,186.72 × 57,699.80
  4. Step 4: Simplify right side
    100,112.96x = 7,973,346,106.66
  5. Step 5: Solve for x
    x = 7,973,346,106.66/100,112.96
  6. Step 6: Final answer
    x = 79,643.50

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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.