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Finding the Fourth Proportional to 82,108.80, 122,968.80 and 55,670.40

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Solution

The fourth proportional to 82,108.80, 122,968.80 and 55,670.40 is: 83,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,108.80 : 122,968.80 = 55,670.40 : x
  2. Step 2: Convert to fraction form
    82,108.80/122,968.80 = 55,670.40/x
  3. Step 3: Cross multiply
    82,108.80x = 122,968.80 × 55,670.40
  4. Step 4: Simplify right side
    82,108.80x = 6,845,722,283.52
  5. Step 5: Solve for x
    x = 6,845,722,283.52/82,108.80
  6. Step 6: Final answer
    x = 83,373.80

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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.