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Finding the Fourth Proportional to 92,808.76, 128,109.28 and 55,083

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Solution

The fourth proportional to 92,808.76, 128,109.28 and 55,083 is: 76,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,808.76 : 128,109.28 = 55,083 : x
  2. Step 2: Convert to fraction form
    92,808.76/128,109.28 = 55,083/x
  3. Step 3: Cross multiply
    92,808.76x = 128,109.28 × 55,083
  4. Step 4: Simplify right side
    92,808.76x = 7,056,643,470.24
  5. Step 5: Solve for x
    x = 7,056,643,470.24/92,808.76
  6. Step 6: Final answer
    x = 76,034.24

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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.