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Finding the Fourth Proportional to 106,553, 159,677.18 and 78,251.08

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Solution

The fourth proportional to 106,553, 159,677.18 and 78,251.08 is: 117,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,553 : 159,677.18 = 78,251.08 : x
  2. Step 2: Convert to fraction form
    106,553/159,677.18 = 78,251.08/x
  3. Step 3: Cross multiply
    106,553x = 159,677.18 × 78,251.08
  4. Step 4: Simplify right side
    106,553x = 12,494,911,786.35
  5. Step 5: Solve for x
    x = 12,494,911,786.35/106,553
  6. Step 6: Final answer
    x = 117,264.76

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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.