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Finding the Fourth Proportional to 208,021.80, 312,032.70 and 103,045.80

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Solution

The fourth proportional to 208,021.80, 312,032.70 and 103,045.80 is: 154,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,021.80 : 312,032.70 = 103,045.80 : x
  2. Step 2: Convert to fraction form
    208,021.80/312,032.70 = 103,045.80/x
  3. Step 3: Cross multiply
    208,021.80x = 312,032.70 × 103,045.80
  4. Step 4: Simplify right side
    208,021.80x = 32,153,659,197.66
  5. Step 5: Solve for x
    x = 32,153,659,197.66/208,021.80
  6. Step 6: Final answer
    x = 154,568.70

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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.