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Finding the Fourth Proportional to 102,750.50, 154,125.76 and 28,878.50

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Solution

The fourth proportional to 102,750.50, 154,125.76 and 28,878.50 is: 43,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,750.50 : 154,125.76 = 28,878.50 : x
  2. Step 2: Convert to fraction form
    102,750.50/154,125.76 = 28,878.50/x
  3. Step 3: Cross multiply
    102,750.50x = 154,125.76 × 28,878.50
  4. Step 4: Simplify right side
    102,750.50x = 4,450,920,760.16
  5. Step 5: Solve for x
    x = 4,450,920,760.16/102,750.50
  6. Step 6: Final answer
    x = 43,317.75

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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.