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Finding the Fourth Proportional to 142,540, 196,705.68 and 85,953.76

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Solution

The fourth proportional to 142,540, 196,705.68 and 85,953.76 is: 118,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,540 : 196,705.68 = 85,953.76 : x
  2. Step 2: Convert to fraction form
    142,540/196,705.68 = 85,953.76/x
  3. Step 3: Cross multiply
    142,540x = 196,705.68 × 85,953.76
  4. Step 4: Simplify right side
    142,540x = 16,907,592,809.36
  5. Step 5: Solve for x
    x = 16,907,592,809.36/142,540
  6. Step 6: Final answer
    x = 118,616.48

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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.