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Finding the Fourth Proportional to 117,464, 162,234.90 and 77,357

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Solution

The fourth proportional to 117,464, 162,234.90 and 77,357 is: 106,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,464 : 162,234.90 = 77,357 : x
  2. Step 2: Convert to fraction form
    117,464/162,234.90 = 77,357/x
  3. Step 3: Cross multiply
    117,464x = 162,234.90 × 77,357
  4. Step 4: Simplify right side
    117,464x = 12,550,005,159.30
  5. Step 5: Solve for x
    x = 12,550,005,159.30/117,464
  6. Step 6: Final answer
    x = 106,841.29

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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.