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Finding the Fourth Proportional to 65,898.76, 98,731.50 and 54,740.20

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Solution

The fourth proportional to 65,898.76, 98,731.50 and 54,740.20 is: 82,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898.76 : 98,731.50 = 54,740.20 : x
  2. Step 2: Convert to fraction form
    65,898.76/98,731.50 = 54,740.20/x
  3. Step 3: Cross multiply
    65,898.76x = 98,731.50 × 54,740.20
  4. Step 4: Simplify right side
    65,898.76x = 5,404,582,056.30
  5. Step 5: Solve for x
    x = 5,404,582,056.30/65,898.76
  6. Step 6: Final answer
    x = 82,013.41

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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.