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Finding the Fourth Proportional to 100,052, 138,076.08 and 55,340

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Solution

The fourth proportional to 100,052, 138,076.08 and 55,340 is: 76,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052 : 138,076.08 = 55,340 : x
  2. Step 2: Convert to fraction form
    100,052/138,076.08 = 55,340/x
  3. Step 3: Cross multiply
    100,052x = 138,076.08 × 55,340
  4. Step 4: Simplify right side
    100,052x = 7,641,130,267.20
  5. Step 5: Solve for x
    x = 7,641,130,267.20/100,052
  6. Step 6: Final answer
    x = 76,371.59

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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.