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Finding the Fourth Proportional to 65,783.40, 98,626.50 and 54,644.28

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Solution

The fourth proportional to 65,783.40, 98,626.50 and 54,644.28 is: 81,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.40 : 98,626.50 = 54,644.28 : x
  2. Step 2: Convert to fraction form
    65,783.40/98,626.50 = 54,644.28/x
  3. Step 3: Cross multiply
    65,783.40x = 98,626.50 × 54,644.28
  4. Step 4: Simplify right side
    65,783.40x = 5,389,374,081.42
  5. Step 5: Solve for x
    x = 5,389,374,081.42/65,783.40
  6. Step 6: Final answer
    x = 81,926.05

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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.