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Finding the Fourth Proportional to 103,516, 142,960.50 and 71,334.28

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Solution

The fourth proportional to 103,516, 142,960.50 and 71,334.28 is: 98,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,516 : 142,960.50 = 71,334.28 : x
  2. Step 2: Convert to fraction form
    103,516/142,960.50 = 71,334.28/x
  3. Step 3: Cross multiply
    103,516x = 142,960.50 × 71,334.28
  4. Step 4: Simplify right side
    103,516x = 10,197,984,335.94
  5. Step 5: Solve for x
    x = 10,197,984,335.94/103,516
  6. Step 6: Final answer
    x = 98,516.02

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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.