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Finding the Fourth Proportional to 65,696.50, 90,661.53 and 35,888.50

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Solution

The fourth proportional to 65,696.50, 90,661.53 and 35,888.50 is: 49,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,696.50 : 90,661.53 = 35,888.50 : x
  2. Step 2: Convert to fraction form
    65,696.50/90,661.53 = 35,888.50/x
  3. Step 3: Cross multiply
    65,696.50x = 90,661.53 × 35,888.50
  4. Step 4: Simplify right side
    65,696.50x = 3,253,706,319.41
  5. Step 5: Solve for x
    x = 3,253,706,319.41/65,696.50
  6. Step 6: Final answer
    x = 49,526.33

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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.