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Finding the Fourth Proportional to 100,202, 138,283.08 and 55,490

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Solution

The fourth proportional to 100,202, 138,283.08 and 55,490 is: 76,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202 : 138,283.08 = 55,490 : x
  2. Step 2: Convert to fraction form
    100,202/138,283.08 = 55,490/x
  3. Step 3: Cross multiply
    100,202x = 138,283.08 × 55,490
  4. Step 4: Simplify right side
    100,202x = 7,673,328,109.20
  5. Step 5: Solve for x
    x = 7,673,328,109.20/100,202
  6. Step 6: Final answer
    x = 76,578.59

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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.