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Finding the Fourth Proportional to 65,509, 90,402.78 and 35,701

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Solution

The fourth proportional to 65,509, 90,402.78 and 35,701 is: 49,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509 : 90,402.78 = 35,701 : x
  2. Step 2: Convert to fraction form
    65,509/90,402.78 = 35,701/x
  3. Step 3: Cross multiply
    65,509x = 90,402.78 × 35,701
  4. Step 4: Simplify right side
    65,509x = 3,227,469,648.78
  5. Step 5: Solve for x
    x = 3,227,469,648.78/65,509
  6. Step 6: Final answer
    x = 49,267.58

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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.