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Finding the Fourth Proportional to 77,000, 106,260.32 and 41,672

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Solution

The fourth proportional to 77,000, 106,260.32 and 41,672 is: 57,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000 : 106,260.32 = 41,672 : x
  2. Step 2: Convert to fraction form
    77,000/106,260.32 = 41,672/x
  3. Step 3: Cross multiply
    77,000x = 106,260.32 × 41,672
  4. Step 4: Simplify right side
    77,000x = 4,428,080,055.04
  5. Step 5: Solve for x
    x = 4,428,080,055.04/77,000
  6. Step 6: Final answer
    x = 57,507.53

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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.