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Finding the Fourth Proportional to 65,817.87, 90,822.54 and 40,312.59

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Solution

The fourth proportional to 65,817.87, 90,822.54 and 40,312.59 is: 55,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.87 : 90,822.54 = 40,312.59 : x
  2. Step 2: Convert to fraction form
    65,817.87/90,822.54 = 40,312.59/x
  3. Step 3: Cross multiply
    65,817.87x = 90,822.54 × 40,312.59
  4. Step 4: Simplify right side
    65,817.87x = 3,661,291,817.78
  5. Step 5: Solve for x
    x = 3,661,291,817.78/65,817.87
  6. Step 6: Final answer
    x = 55,627.63

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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.