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Finding the Fourth Proportional to 102,962.52, 154,496.75 and 77,994.27

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Solution

The fourth proportional to 102,962.52, 154,496.75 and 77,994.27 is: 117,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,962.52 : 154,496.75 = 77,994.27 : x
  2. Step 2: Convert to fraction form
    102,962.52/154,496.75 = 77,994.27/x
  3. Step 3: Cross multiply
    102,962.52x = 154,496.75 × 77,994.27
  4. Step 4: Simplify right side
    102,962.52x = 12,049,860,843.65
  5. Step 5: Solve for x
    x = 12,049,860,843.65/102,962.52
  6. Step 6: Final answer
    x = 117,031.53

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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.