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Finding the Fourth Proportional to 65,130.98, 89,890.41 and 41,259.87

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Solution

The fourth proportional to 65,130.98, 89,890.41 and 41,259.87 is: 56,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.98 : 89,890.41 = 41,259.87 : x
  2. Step 2: Convert to fraction form
    65,130.98/89,890.41 = 41,259.87/x
  3. Step 3: Cross multiply
    65,130.98x = 89,890.41 × 41,259.87
  4. Step 4: Simplify right side
    65,130.98x = 3,708,866,630.85
  5. Step 5: Solve for x
    x = 3,708,866,630.85/65,130.98
  6. Step 6: Final answer
    x = 56,944.74

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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.