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Finding the Fourth Proportional to 65,538.81, 90,442.70 and 36,858.47

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Solution

The fourth proportional to 65,538.81, 90,442.70 and 36,858.47 is: 50,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,538.81 : 90,442.70 = 36,858.47 : x
  2. Step 2: Convert to fraction form
    65,538.81/90,442.70 = 36,858.47/x
  3. Step 3: Cross multiply
    65,538.81x = 90,442.70 × 36,858.47
  4. Step 4: Simplify right side
    65,538.81x = 3,333,579,150.05
  5. Step 5: Solve for x
    x = 3,333,579,150.05/65,538.81
  6. Step 6: Final answer
    x = 50,864.20

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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.