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Finding the Fourth Proportional to 94,143, 129,928.86 and 54,399

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Solution

The fourth proportional to 94,143, 129,928.86 and 54,399 is: 75,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,143 : 129,928.86 = 54,399 : x
  2. Step 2: Convert to fraction form
    94,143/129,928.86 = 54,399/x
  3. Step 3: Cross multiply
    94,143x = 129,928.86 × 54,399
  4. Step 4: Simplify right side
    94,143x = 7,068,000,055.14
  5. Step 5: Solve for x
    x = 7,068,000,055.14/94,143
  6. Step 6: Final answer
    x = 75,077.28

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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.