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Finding the Fourth Proportional to 66,365, 91,583.70 and 36,557

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Solution

The fourth proportional to 66,365, 91,583.70 and 36,557 is: 50,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,365 : 91,583.70 = 36,557 : x
  2. Step 2: Convert to fraction form
    66,365/91,583.70 = 36,557/x
  3. Step 3: Cross multiply
    66,365x = 91,583.70 × 36,557
  4. Step 4: Simplify right side
    66,365x = 3,348,025,320.90
  5. Step 5: Solve for x
    x = 3,348,025,320.90/66,365
  6. Step 6: Final answer
    x = 50,448.66

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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.