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Finding the Fourth Proportional to 78,828, 108,782.70 and 58,702.20

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Solution

The fourth proportional to 78,828, 108,782.70 and 58,702.20 is: 81,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,828 : 108,782.70 = 58,702.20 : x
  2. Step 2: Convert to fraction form
    78,828/108,782.70 = 58,702.20/x
  3. Step 3: Cross multiply
    78,828x = 108,782.70 × 58,702.20
  4. Step 4: Simplify right side
    78,828x = 6,385,783,811.94
  5. Step 5: Solve for x
    x = 6,385,783,811.94/78,828
  6. Step 6: Final answer
    x = 81,009.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.