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Finding the Fourth Proportional to 65,400, 98,100.93 and 18,652.89

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Solution

The fourth proportional to 65,400, 98,100.93 and 18,652.89 is: 27,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,400 : 98,100.93 = 18,652.89 : x
  2. Step 2: Convert to fraction form
    65,400/98,100.93 = 18,652.89/x
  3. Step 3: Cross multiply
    65,400x = 98,100.93 × 18,652.89
  4. Step 4: Simplify right side
    65,400x = 1,829,865,856.19
  5. Step 5: Solve for x
    x = 1,829,865,856.19/65,400
  6. Step 6: Final answer
    x = 27,979.60

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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.