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Finding the Fourth Proportional to 206,756.65, 310,256.85 and 86,834.64

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Solution

The fourth proportional to 206,756.65, 310,256.85 and 86,834.64 is: 130,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,756.65 : 310,256.85 = 86,834.64 : x
  2. Step 2: Convert to fraction form
    206,756.65/310,256.85 = 86,834.64/x
  3. Step 3: Cross multiply
    206,756.65x = 310,256.85 × 86,834.64
  4. Step 4: Simplify right side
    206,756.65x = 26,941,042,877.93
  5. Step 5: Solve for x
    x = 26,941,042,877.93/206,756.65
  6. Step 6: Final answer
    x = 130,303.15

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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.