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Finding the Fourth Proportional to 65,196.39, 89,967.90 and 40,041.03

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Solution

The fourth proportional to 65,196.39, 89,967.90 and 40,041.03 is: 55,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.39 : 89,967.90 = 40,041.03 : x
  2. Step 2: Convert to fraction form
    65,196.39/89,967.90 = 40,041.03/x
  3. Step 3: Cross multiply
    65,196.39x = 89,967.90 × 40,041.03
  4. Step 4: Simplify right side
    65,196.39x = 3,602,407,382.94
  5. Step 5: Solve for x
    x = 3,602,407,382.94/65,196.39
  6. Step 6: Final answer
    x = 55,254.71

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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.