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Finding the Fourth Proportional to 65,260.53, 90,038.12 and 36,576

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Solution

The fourth proportional to 65,260.53, 90,038.12 and 36,576 is: 50,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260.53 : 90,038.12 = 36,576 : x
  2. Step 2: Convert to fraction form
    65,260.53/90,038.12 = 36,576/x
  3. Step 3: Cross multiply
    65,260.53x = 90,038.12 × 36,576
  4. Step 4: Simplify right side
    65,260.53x = 3,293,234,094.24
  5. Step 5: Solve for x
    x = 3,293,234,094.24/65,260.53
  6. Step 6: Final answer
    x = 50,462.88

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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.