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Finding the Fourth Proportional to 65,283, 90,091.11 and 35,475

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Solution

The fourth proportional to 65,283, 90,091.11 and 35,475 is: 48,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,283 : 90,091.11 = 35,475 : x
  2. Step 2: Convert to fraction form
    65,283/90,091.11 = 35,475/x
  3. Step 3: Cross multiply
    65,283x = 90,091.11 × 35,475
  4. Step 4: Simplify right side
    65,283x = 3,195,982,127.25
  5. Step 5: Solve for x
    x = 3,195,982,127.25/65,283
  6. Step 6: Final answer
    x = 48,955.81

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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.