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Finding the Fourth Proportional to 66,503.64, 91,776.84 and 39,648.36

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Solution

The fourth proportional to 66,503.64, 91,776.84 and 39,648.36 is: 54,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503.64 : 91,776.84 = 39,648.36 : x
  2. Step 2: Convert to fraction form
    66,503.64/91,776.84 = 39,648.36/x
  3. Step 3: Cross multiply
    66,503.64x = 91,776.84 × 39,648.36
  4. Step 4: Simplify right side
    66,503.64x = 3,638,801,191.98
  5. Step 5: Solve for x
    x = 3,638,801,191.98/66,503.64
  6. Step 6: Final answer
    x = 54,715.82

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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.