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Finding the Fourth Proportional to 118,473, 163,492.74 and 65,481

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Solution

The fourth proportional to 118,473, 163,492.74 and 65,481 is: 90,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,473 : 163,492.74 = 65,481 : x
  2. Step 2: Convert to fraction form
    118,473/163,492.74 = 65,481/x
  3. Step 3: Cross multiply
    118,473x = 163,492.74 × 65,481
  4. Step 4: Simplify right side
    118,473x = 10,705,668,107.94
  5. Step 5: Solve for x
    x = 10,705,668,107.94/118,473
  6. Step 6: Final answer
    x = 90,363.78

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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.