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Finding the Fourth Proportional to 65,358, 90,194.12 and 35,550

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Solution

The fourth proportional to 65,358, 90,194.12 and 35,550 is: 49,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358 : 90,194.12 = 35,550 : x
  2. Step 2: Convert to fraction form
    65,358/90,194.12 = 35,550/x
  3. Step 3: Cross multiply
    65,358x = 90,194.12 × 35,550
  4. Step 4: Simplify right side
    65,358x = 3,206,400,966
  5. Step 5: Solve for x
    x = 3,206,400,966/65,358
  6. Step 6: Final answer
    x = 49,059.04

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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.