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Finding the Fourth Proportional to 117,477, 162,252.84 and 77,370

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Solution

The fourth proportional to 117,477, 162,252.84 and 77,370 is: 106,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,477 : 162,252.84 = 77,370 : x
  2. Step 2: Convert to fraction form
    117,477/162,252.84 = 77,370/x
  3. Step 3: Cross multiply
    117,477x = 162,252.84 × 77,370
  4. Step 4: Simplify right side
    117,477x = 12,553,502,230.80
  5. Step 5: Solve for x
    x = 12,553,502,230.80/117,477
  6. Step 6: Final answer
    x = 106,859.23

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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.