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Finding the Fourth Proportional to 94,170, 129,966.12 and 54,426

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Solution

The fourth proportional to 94,170, 129,966.12 and 54,426 is: 75,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,170 : 129,966.12 = 54,426 : x
  2. Step 2: Convert to fraction form
    94,170/129,966.12 = 54,426/x
  3. Step 3: Cross multiply
    94,170x = 129,966.12 × 54,426
  4. Step 4: Simplify right side
    94,170x = 7,073,536,047.12
  5. Step 5: Solve for x
    x = 7,073,536,047.12/94,170
  6. Step 6: Final answer
    x = 75,114.54

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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.