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Finding the Fourth Proportional to 105,072.78, 157,520.46 and 48,883.88

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Solution

The fourth proportional to 105,072.78, 157,520.46 and 48,883.88 is: 73,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072.78 : 157,520.46 = 48,883.88 : x
  2. Step 2: Convert to fraction form
    105,072.78/157,520.46 = 48,883.88/x
  3. Step 3: Cross multiply
    105,072.78x = 157,520.46 × 48,883.88
  4. Step 4: Simplify right side
    105,072.78x = 7,700,211,264.18
  5. Step 5: Solve for x
    x = 7,700,211,264.18/105,072.78
  6. Step 6: Final answer
    x = 73,284.55

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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.