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Finding the Fourth Proportional to 208,870.80, 313,403.40 and 109,143.60

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Solution

The fourth proportional to 208,870.80, 313,403.40 and 109,143.60 is: 163,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,870.80 : 313,403.40 = 109,143.60 : x
  2. Step 2: Convert to fraction form
    208,870.80/313,403.40 = 109,143.60/x
  3. Step 3: Cross multiply
    208,870.80x = 313,403.40 × 109,143.60
  4. Step 4: Simplify right side
    208,870.80x = 34,205,975,328.24
  5. Step 5: Solve for x
    x = 34,205,975,328.24/208,870.80
  6. Step 6: Final answer
    x = 163,766.19

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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.