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Finding the Fourth Proportional to 65,253.36, 90,058.20 and 36,960

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Solution

The fourth proportional to 65,253.36, 90,058.20 and 36,960 is: 51,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.36 : 90,058.20 = 36,960 : x
  2. Step 2: Convert to fraction form
    65,253.36/90,058.20 = 36,960/x
  3. Step 3: Cross multiply
    65,253.36x = 90,058.20 × 36,960
  4. Step 4: Simplify right side
    65,253.36x = 3,328,551,072
  5. Step 5: Solve for x
    x = 3,328,551,072/65,253.36
  6. Step 6: Final answer
    x = 51,009.65

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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.