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Finding the Fourth Proportional to 65,243, 90,035.34 and 35,435

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Solution

The fourth proportional to 65,243, 90,035.34 and 35,435 is: 48,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,243 : 90,035.34 = 35,435 : x
  2. Step 2: Convert to fraction form
    65,243/90,035.34 = 35,435/x
  3. Step 3: Cross multiply
    65,243x = 90,035.34 × 35,435
  4. Step 4: Simplify right side
    65,243x = 3,190,402,272.90
  5. Step 5: Solve for x
    x = 3,190,402,272.90/65,243
  6. Step 6: Final answer
    x = 48,900.30

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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.