Home / 51,825.71-77,734.08-31,557.23

Finding the Fourth Proportional to 51,825.71, 77,734.08 and 31,557.23

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Solution

The fourth proportional to 51,825.71, 77,734.08 and 31,557.23 is: 47,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825.71 : 77,734.08 = 31,557.23 : x
  2. Step 2: Convert to fraction form
    51,825.71/77,734.08 = 31,557.23/x
  3. Step 3: Cross multiply
    51,825.71x = 77,734.08 × 31,557.23
  4. Step 4: Simplify right side
    51,825.71x = 2,453,072,144.23
  5. Step 5: Solve for x
    x = 2,453,072,144.23/51,825.71
  6. Step 6: Final answer
    x = 47,333.12

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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.