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Finding the Fourth Proportional to 100,135, 138,188.46 and 55,423

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Solution

The fourth proportional to 100,135, 138,188.46 and 55,423 is: 76,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,135 : 138,188.46 = 55,423 : x
  2. Step 2: Convert to fraction form
    100,135/138,188.46 = 55,423/x
  3. Step 3: Cross multiply
    100,135x = 138,188.46 × 55,423
  4. Step 4: Simplify right side
    100,135x = 7,658,819,018.58
  5. Step 5: Solve for x
    x = 7,658,819,018.58/100,135
  6. Step 6: Final answer
    x = 76,484.94

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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.