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Finding the Fourth Proportional to 199,210.40, 298,475.40 and 93,813.20

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Solution

The fourth proportional to 199,210.40, 298,475.40 and 93,813.20 is: 140,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,210.40 : 298,475.40 = 93,813.20 : x
  2. Step 2: Convert to fraction form
    199,210.40/298,475.40 = 93,813.20/x
  3. Step 3: Cross multiply
    199,210.40x = 298,475.40 × 93,813.20
  4. Step 4: Simplify right side
    199,210.40x = 28,000,932,395.28
  5. Step 5: Solve for x
    x = 28,000,932,395.28/199,210.40
  6. Step 6: Final answer
    x = 140,559.59

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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.