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Finding the Fourth Proportional to 78,465.57, 117,746.82 and 31,072.68

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Solution

The fourth proportional to 78,465.57, 117,746.82 and 31,072.68 is: 46,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.57 : 117,746.82 = 31,072.68 : x
  2. Step 2: Convert to fraction form
    78,465.57/117,746.82 = 31,072.68/x
  3. Step 3: Cross multiply
    78,465.57x = 117,746.82 × 31,072.68
  4. Step 4: Simplify right side
    78,465.57x = 3,658,709,258.88
  5. Step 5: Solve for x
    x = 3,658,709,258.88/78,465.57
  6. Step 6: Final answer
    x = 46,628.21

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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.