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Finding the Fourth Proportional to 102,178.80, 153,078.12 and 55,470.96

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Solution

The fourth proportional to 102,178.80, 153,078.12 and 55,470.96 is: 83,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,178.80 : 153,078.12 = 55,470.96 : x
  2. Step 2: Convert to fraction form
    102,178.80/153,078.12 = 55,470.96/x
  3. Step 3: Cross multiply
    102,178.80x = 153,078.12 × 55,470.96
  4. Step 4: Simplify right side
    102,178.80x = 8,491,390,271.40
  5. Step 5: Solve for x
    x = 8,491,390,271.40/102,178.80
  6. Step 6: Final answer
    x = 83,103.25

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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.