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Finding the Fourth Proportional to 65,712.82, 90,652.08 and 43,042

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Solution

The fourth proportional to 65,712.82, 90,652.08 and 43,042 is: 59,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.82 : 90,652.08 = 43,042 : x
  2. Step 2: Convert to fraction form
    65,712.82/90,652.08 = 43,042/x
  3. Step 3: Cross multiply
    65,712.82x = 90,652.08 × 43,042
  4. Step 4: Simplify right side
    65,712.82x = 3,901,846,827.36
  5. Step 5: Solve for x
    x = 3,901,846,827.36/65,712.82
  6. Step 6: Final answer
    x = 59,377.25

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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.