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Finding the Fourth Proportional to 66,654, 91,993.68 and 38,354.40

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Solution

The fourth proportional to 66,654, 91,993.68 and 38,354.40 is: 52,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654 : 91,993.68 = 38,354.40 : x
  2. Step 2: Convert to fraction form
    66,654/91,993.68 = 38,354.40/x
  3. Step 3: Cross multiply
    66,654x = 91,993.68 × 38,354.40
  4. Step 4: Simplify right side
    66,654x = 3,528,362,400.19
  5. Step 5: Solve for x
    x = 3,528,362,400.19/66,654
  6. Step 6: Final answer
    x = 52,935.49

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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.