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Finding the Fourth Proportional to 65,708.82, 90,646.56 and 43,038

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Solution

The fourth proportional to 65,708.82, 90,646.56 and 43,038 is: 59,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708.82 : 90,646.56 = 43,038 : x
  2. Step 2: Convert to fraction form
    65,708.82/90,646.56 = 43,038/x
  3. Step 3: Cross multiply
    65,708.82x = 90,646.56 × 43,038
  4. Step 4: Simplify right side
    65,708.82x = 3,901,246,649.28
  5. Step 5: Solve for x
    x = 3,901,246,649.28/65,708.82
  6. Step 6: Final answer
    x = 59,371.74

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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.