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Finding the Fourth Proportional to 102,780.54, 154,100.65 and 54,756.32

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Solution

The fourth proportional to 102,780.54, 154,100.65 and 54,756.32 is: 82,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,780.54 : 154,100.65 = 54,756.32 : x
  2. Step 2: Convert to fraction form
    102,780.54/154,100.65 = 54,756.32/x
  3. Step 3: Cross multiply
    102,780.54x = 154,100.65 × 54,756.32
  4. Step 4: Simplify right side
    102,780.54x = 8,437,984,615.08
  5. Step 5: Solve for x
    x = 8,437,984,615.08/102,780.54
  6. Step 6: Final answer
    x = 82,097.11

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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.