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Finding the Fourth Proportional to 66,496, 91,764.48 and 36,688

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Solution

The fourth proportional to 66,496, 91,764.48 and 36,688 is: 50,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496 : 91,764.48 = 36,688 : x
  2. Step 2: Convert to fraction form
    66,496/91,764.48 = 36,688/x
  3. Step 3: Cross multiply
    66,496x = 91,764.48 × 36,688
  4. Step 4: Simplify right side
    66,496x = 3,366,655,242.24
  5. Step 5: Solve for x
    x = 3,366,655,242.24/66,496
  6. Step 6: Final answer
    x = 50,629.44

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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.