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Finding the Fourth Proportional to 100,410.84, 138,551.31 and 57,961.17

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Solution

The fourth proportional to 100,410.84, 138,551.31 and 57,961.17 is: 79,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.84 : 138,551.31 = 57,961.17 : x
  2. Step 2: Convert to fraction form
    100,410.84/138,551.31 = 57,961.17/x
  3. Step 3: Cross multiply
    100,410.84x = 138,551.31 × 57,961.17
  4. Step 4: Simplify right side
    100,410.84x = 8,030,596,032.63
  5. Step 5: Solve for x
    x = 8,030,596,032.63/100,410.84
  6. Step 6: Final answer
    x = 79,977.38

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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.