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Finding the Fourth Proportional to 100,130.78, 138,180.84 and 55,418.78

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Solution

The fourth proportional to 100,130.78, 138,180.84 and 55,418.78 is: 76,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,130.78 : 138,180.84 = 55,418.78 : x
  2. Step 2: Convert to fraction form
    100,130.78/138,180.84 = 55,418.78/x
  3. Step 3: Cross multiply
    100,130.78x = 138,180.84 × 55,418.78
  4. Step 4: Simplify right side
    100,130.78x = 7,657,813,572.18
  5. Step 5: Solve for x
    x = 7,657,813,572.18/100,130.78
  6. Step 6: Final answer
    x = 76,478.12

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1.5x scale

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.