Home / 78,546.24-117,826.65-31,802.76

Finding the Fourth Proportional to 78,546.24, 117,826.65 and 31,802.76

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Solution

The fourth proportional to 78,546.24, 117,826.65 and 31,802.76 is: 47,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.24 : 117,826.65 = 31,802.76 : x
  2. Step 2: Convert to fraction form
    78,546.24/117,826.65 = 31,802.76/x
  3. Step 3: Cross multiply
    78,546.24x = 117,826.65 × 31,802.76
  4. Step 4: Simplify right side
    78,546.24x = 3,747,212,671.55
  5. Step 5: Solve for x
    x = 3,747,212,671.55/78,546.24
  6. Step 6: Final answer
    x = 47,707.09

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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.