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Finding the Fourth Proportional to 100,427.98, 138,584.64 and 57,412.12

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Solution

The fourth proportional to 100,427.98, 138,584.64 and 57,412.12 is: 79,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,427.98 : 138,584.64 = 57,412.12 : x
  2. Step 2: Convert to fraction form
    100,427.98/138,584.64 = 57,412.12/x
  3. Step 3: Cross multiply
    100,427.98x = 138,584.64 × 57,412.12
  4. Step 4: Simplify right side
    100,427.98x = 7,956,437,981.84
  5. Step 5: Solve for x
    x = 7,956,437,981.84/100,427.98
  6. Step 6: Final answer
    x = 79,225.31

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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.