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Finding the Fourth Proportional to 117,473, 162,247.32 and 77,366

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Solution

The fourth proportional to 117,473, 162,247.32 and 77,366 is: 106,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,473 : 162,247.32 = 77,366 : x
  2. Step 2: Convert to fraction form
    117,473/162,247.32 = 77,366/x
  3. Step 3: Cross multiply
    117,473x = 162,247.32 × 77,366
  4. Step 4: Simplify right side
    117,473x = 12,552,426,159.12
  5. Step 5: Solve for x
    x = 12,552,426,159.12/117,473
  6. Step 6: Final answer
    x = 106,853.71

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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.