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Finding the Fourth Proportional to 98,076.60, 146,999.70 and 45,374.76

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Solution

The fourth proportional to 98,076.60, 146,999.70 and 45,374.76 is: 68,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076.60 : 146,999.70 = 45,374.76 : x
  2. Step 2: Convert to fraction form
    98,076.60/146,999.70 = 45,374.76/x
  3. Step 3: Cross multiply
    98,076.60x = 146,999.70 × 45,374.76
  4. Step 4: Simplify right side
    98,076.60x = 6,670,076,107.57
  5. Step 5: Solve for x
    x = 6,670,076,107.57/98,076.60
  6. Step 6: Final answer
    x = 68,008.84

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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.