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Finding the Fourth Proportional to 78,004.90, 117,007.35 and 31,291.30

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Solution

The fourth proportional to 78,004.90, 117,007.35 and 31,291.30 is: 46,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.90 : 117,007.35 = 31,291.30 : x
  2. Step 2: Convert to fraction form
    78,004.90/117,007.35 = 31,291.30/x
  3. Step 3: Cross multiply
    78,004.90x = 117,007.35 × 31,291.30
  4. Step 4: Simplify right side
    78,004.90x = 3,661,312,091.06
  5. Step 5: Solve for x
    x = 3,661,312,091.06/78,004.90
  6. Step 6: Final answer
    x = 46,936.95

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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.