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Finding the Fourth Proportional to 208,523.80, 312,785.70 and 96,203.80

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Solution

The fourth proportional to 208,523.80, 312,785.70 and 96,203.80 is: 144,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,523.80 : 312,785.70 = 96,203.80 : x
  2. Step 2: Convert to fraction form
    208,523.80/312,785.70 = 96,203.80/x
  3. Step 3: Cross multiply
    208,523.80x = 312,785.70 × 96,203.80
  4. Step 4: Simplify right side
    208,523.80x = 30,091,172,925.66
  5. Step 5: Solve for x
    x = 30,091,172,925.66/208,523.80
  6. Step 6: Final answer
    x = 144,305.70

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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.