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Finding the Fourth Proportional to 65,239.50, 90,030.54 and 35,431.50

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Solution

The fourth proportional to 65,239.50, 90,030.54 and 35,431.50 is: 48,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239.50 : 90,030.54 = 35,431.50 : x
  2. Step 2: Convert to fraction form
    65,239.50/90,030.54 = 35,431.50/x
  3. Step 3: Cross multiply
    65,239.50x = 90,030.54 × 35,431.50
  4. Step 4: Simplify right side
    65,239.50x = 3,189,917,078.01
  5. Step 5: Solve for x
    x = 3,189,917,078.01/65,239.50
  6. Step 6: Final answer
    x = 48,895.49

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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.