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Finding the Fourth Proportional to 208,215.84, 312,382.08 and 83,644.32

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Solution

The fourth proportional to 208,215.84, 312,382.08 and 83,644.32 is: 125,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,215.84 : 312,382.08 = 83,644.32 : x
  2. Step 2: Convert to fraction form
    208,215.84/312,382.08 = 83,644.32/x
  3. Step 3: Cross multiply
    208,215.84x = 312,382.08 × 83,644.32
  4. Step 4: Simplify right side
    208,215.84x = 26,128,986,661.79
  5. Step 5: Solve for x
    x = 26,128,986,661.79/208,215.84
  6. Step 6: Final answer
    x = 125,489.91

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1.5x scale

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.