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Finding the Fourth Proportional to 208,764.40, 313,146.60 and 90,666.40

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Solution

The fourth proportional to 208,764.40, 313,146.60 and 90,666.40 is: 135,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,764.40 : 313,146.60 = 90,666.40 : x
  2. Step 2: Convert to fraction form
    208,764.40/313,146.60 = 90,666.40/x
  3. Step 3: Cross multiply
    208,764.40x = 313,146.60 × 90,666.40
  4. Step 4: Simplify right side
    208,764.40x = 28,391,874,894.24
  5. Step 5: Solve for x
    x = 28,391,874,894.24/208,764.40
  6. Step 6: Final answer
    x = 135,999.60

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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.