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Finding the Fourth Proportional to 100,140, 138,197.52 and 55,428

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Solution

The fourth proportional to 100,140, 138,197.52 and 55,428 is: 76,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,140 : 138,197.52 = 55,428 : x
  2. Step 2: Convert to fraction form
    100,140/138,197.52 = 55,428/x
  3. Step 3: Cross multiply
    100,140x = 138,197.52 × 55,428
  4. Step 4: Simplify right side
    100,140x = 7,660,012,138.56
  5. Step 5: Solve for x
    x = 7,660,012,138.56/100,140
  6. Step 6: Final answer
    x = 76,493.03

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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.