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Finding the Fourth Proportional to 65,272.34, 90,072.30 and 36,977.42

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Solution

The fourth proportional to 65,272.34, 90,072.30 and 36,977.42 is: 51,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272.34 : 90,072.30 = 36,977.42 : x
  2. Step 2: Convert to fraction form
    65,272.34/90,072.30 = 36,977.42/x
  3. Step 3: Cross multiply
    65,272.34x = 90,072.30 × 36,977.42
  4. Step 4: Simplify right side
    65,272.34x = 3,330,641,267.47
  5. Step 5: Solve for x
    x = 3,330,641,267.47/65,272.34
  6. Step 6: Final answer
    x = 51,026.84

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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.