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Finding the Fourth Proportional to 134,911, 202,376.31 and 51,805

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Solution

The fourth proportional to 134,911, 202,376.31 and 51,805 is: 77,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,911 : 202,376.31 = 51,805 : x
  2. Step 2: Convert to fraction form
    134,911/202,376.31 = 51,805/x
  3. Step 3: Cross multiply
    134,911x = 202,376.31 × 51,805
  4. Step 4: Simplify right side
    134,911x = 10,484,104,739.55
  5. Step 5: Solve for x
    x = 10,484,104,739.55/134,911
  6. Step 6: Final answer
    x = 77,711.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.