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Finding the Fourth Proportional to 65,168.99, 97,822.61 and 57,720.90

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Solution

The fourth proportional to 65,168.99, 97,822.61 and 57,720.90 is: 86,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,168.99 : 97,822.61 = 57,720.90 : x
  2. Step 2: Convert to fraction form
    65,168.99/97,822.61 = 57,720.90/x
  3. Step 3: Cross multiply
    65,168.99x = 97,822.61 × 57,720.90
  4. Step 4: Simplify right side
    65,168.99x = 5,646,409,089.55
  5. Step 5: Solve for x
    x = 5,646,409,089.55/65,168.99
  6. Step 6: Final answer
    x = 86,642.57

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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.