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Finding the Fourth Proportional to 103,294.88, 142,551.60 and 80,900

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Solution

The fourth proportional to 103,294.88, 142,551.60 and 80,900 is: 111,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,294.88 : 142,551.60 = 80,900 : x
  2. Step 2: Convert to fraction form
    103,294.88/142,551.60 = 80,900/x
  3. Step 3: Cross multiply
    103,294.88x = 142,551.60 × 80,900
  4. Step 4: Simplify right side
    103,294.88x = 11,532,424,440
  5. Step 5: Solve for x
    x = 11,532,424,440/103,294.88
  6. Step 6: Final answer
    x = 111,645.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.