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Finding the Fourth Proportional to 66,193.61, 91,347.79 and 35,979

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Solution

The fourth proportional to 66,193.61, 91,347.79 and 35,979 is: 49,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,193.61 : 91,347.79 = 35,979 : x
  2. Step 2: Convert to fraction form
    66,193.61/91,347.79 = 35,979/x
  3. Step 3: Cross multiply
    66,193.61x = 91,347.79 × 35,979
  4. Step 4: Simplify right side
    66,193.61x = 3,286,602,136.41
  5. Step 5: Solve for x
    x = 3,286,602,136.41/66,193.61
  6. Step 6: Final answer
    x = 49,651.35

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1.5x scale

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.