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Finding the Fourth Proportional to 94,146, 129,933 and 54,402

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Solution

The fourth proportional to 94,146, 129,933 and 54,402 is: 75,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,146 : 129,933 = 54,402 : x
  2. Step 2: Convert to fraction form
    94,146/129,933 = 54,402/x
  3. Step 3: Cross multiply
    94,146x = 129,933 × 54,402
  4. Step 4: Simplify right side
    94,146x = 7,068,615,066
  5. Step 5: Solve for x
    x = 7,068,615,066/94,146
  6. Step 6: Final answer
    x = 75,081.42

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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.