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Finding the Fourth Proportional to 208,647.40, 313,124.70 and 84,077.80

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Solution

The fourth proportional to 208,647.40, 313,124.70 and 84,077.80 is: 126,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,647.40 : 313,124.70 = 84,077.80 : x
  2. Step 2: Convert to fraction form
    208,647.40/313,124.70 = 84,077.80/x
  3. Step 3: Cross multiply
    208,647.40x = 313,124.70 × 84,077.80
  4. Step 4: Simplify right side
    208,647.40x = 26,326,835,901.66
  5. Step 5: Solve for x
    x = 26,326,835,901.66/208,647.40
  6. Step 6: Final answer
    x = 126,178.60

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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.