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Finding the Fourth Proportional to 65,164.91, 89,905.55 and 41,288.13

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Solution

The fourth proportional to 65,164.91, 89,905.55 and 41,288.13 is: 56,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.91 : 89,905.55 = 41,288.13 : x
  2. Step 2: Convert to fraction form
    65,164.91/89,905.55 = 41,288.13/x
  3. Step 3: Cross multiply
    65,164.91x = 89,905.55 × 41,288.13
  4. Step 4: Simplify right side
    65,164.91x = 3,712,031,829.68
  5. Step 5: Solve for x
    x = 3,712,031,829.68/65,164.91
  6. Step 6: Final answer
    x = 56,963.67

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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.