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Finding the Fourth Proportional to 103,378.74, 142,684.89 and 63,083.88

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Solution

The fourth proportional to 103,378.74, 142,684.89 and 63,083.88 is: 87,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,378.74 : 142,684.89 = 63,083.88 : x
  2. Step 2: Convert to fraction form
    103,378.74/142,684.89 = 63,083.88/x
  3. Step 3: Cross multiply
    103,378.74x = 142,684.89 × 63,083.88
  4. Step 4: Simplify right side
    103,378.74x = 9,001,116,478.57
  5. Step 5: Solve for x
    x = 9,001,116,478.57/103,378.74
  6. Step 6: Final answer
    x = 87,069.32

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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.