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Finding the Fourth Proportional to 100,014, 138,019.40 and 55,302

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Solution

The fourth proportional to 100,014, 138,019.40 and 55,302 is: 76,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014 : 138,019.40 = 55,302 : x
  2. Step 2: Convert to fraction form
    100,014/138,019.40 = 55,302/x
  3. Step 3: Cross multiply
    100,014x = 138,019.40 × 55,302
  4. Step 4: Simplify right side
    100,014x = 7,632,748,858.80
  5. Step 5: Solve for x
    x = 7,632,748,858.80/100,014
  6. Step 6: Final answer
    x = 76,316.80

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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.