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Finding the Fourth Proportional to 207,862.40, 311,851.20 and 137,878.40

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Solution

The fourth proportional to 207,862.40, 311,851.20 and 137,878.40 is: 206,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,862.40 : 311,851.20 = 137,878.40 : x
  2. Step 2: Convert to fraction form
    207,862.40/311,851.20 = 137,878.40/x
  3. Step 3: Cross multiply
    207,862.40x = 311,851.20 × 137,878.40
  4. Step 4: Simplify right side
    207,862.40x = 42,997,544,494.08
  5. Step 5: Solve for x
    x = 42,997,544,494.08/207,862.40
  6. Step 6: Final answer
    x = 206,855.81

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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.