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Finding the Fourth Proportional to 206,785.70, 310,232.55 and 66,547.70

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Solution

The fourth proportional to 206,785.70, 310,232.55 and 66,547.70 is: 99,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,785.70 : 310,232.55 = 66,547.70 : x
  2. Step 2: Convert to fraction form
    206,785.70/310,232.55 = 66,547.70/x
  3. Step 3: Cross multiply
    206,785.70x = 310,232.55 × 66,547.70
  4. Step 4: Simplify right side
    206,785.70x = 20,645,262,667.64
  5. Step 5: Solve for x
    x = 20,645,262,667.64/206,785.70
  6. Step 6: Final answer
    x = 99,838.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.