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Finding the Fourth Proportional to 72,971.90, 109,244.59 and 65,968.03

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Solution

The fourth proportional to 72,971.90, 109,244.59 and 65,968.03 is: 98,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,971.90 : 109,244.59 = 65,968.03 : x
  2. Step 2: Convert to fraction form
    72,971.90/109,244.59 = 65,968.03/x
  3. Step 3: Cross multiply
    72,971.90x = 109,244.59 × 65,968.03
  4. Step 4: Simplify right side
    72,971.90x = 7,206,650,390.46
  5. Step 5: Solve for x
    x = 7,206,650,390.46/72,971.90
  6. Step 6: Final answer
    x = 98,759.25

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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.