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Finding the Fourth Proportional to 65,784.53, 90,792.87 and 43,189.07

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Solution

The fourth proportional to 65,784.53, 90,792.87 and 43,189.07 is: 59,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.53 : 90,792.87 = 43,189.07 : x
  2. Step 2: Convert to fraction form
    65,784.53/90,792.87 = 43,189.07/x
  3. Step 3: Cross multiply
    65,784.53x = 90,792.87 × 43,189.07
  4. Step 4: Simplify right side
    65,784.53x = 3,921,260,132.48
  5. Step 5: Solve for x
    x = 3,921,260,132.48/65,784.53
  6. Step 6: Final answer
    x = 59,607.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.