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Finding the Fourth Proportional to 78,095.90, 117,192 and 30,702.62

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Solution

The fourth proportional to 78,095.90, 117,192 and 30,702.62 is: 46,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,095.90 : 117,192 = 30,702.62 : x
  2. Step 2: Convert to fraction form
    78,095.90/117,192 = 30,702.62/x
  3. Step 3: Cross multiply
    78,095.90x = 117,192 × 30,702.62
  4. Step 4: Simplify right side
    78,095.90x = 3,598,101,443.04
  5. Step 5: Solve for x
    x = 3,598,101,443.04/78,095.90
  6. Step 6: Final answer
    x = 46,072.86

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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.