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Finding the Fourth Proportional to 66,568, 91,864.16 and 38,275.36

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Solution

The fourth proportional to 66,568, 91,864.16 and 38,275.36 is: 52,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,568 : 91,864.16 = 38,275.36 : x
  2. Step 2: Convert to fraction form
    66,568/91,864.16 = 38,275.36/x
  3. Step 3: Cross multiply
    66,568x = 91,864.16 × 38,275.36
  4. Step 4: Simplify right side
    66,568x = 3,516,133,795.10
  5. Step 5: Solve for x
    x = 3,516,133,795.10/66,568
  6. Step 6: Final answer
    x = 52,820.18

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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.