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Finding the Fourth Proportional to 65,641.44, 90,427.14 and 52,208.40

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Solution

The fourth proportional to 65,641.44, 90,427.14 and 52,208.40 is: 71,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,641.44 : 90,427.14 = 52,208.40 : x
  2. Step 2: Convert to fraction form
    65,641.44/90,427.14 = 52,208.40/x
  3. Step 3: Cross multiply
    65,641.44x = 90,427.14 × 52,208.40
  4. Step 4: Simplify right side
    65,641.44x = 4,721,056,295.98
  5. Step 5: Solve for x
    x = 4,721,056,295.98/65,641.44
  6. Step 6: Final answer
    x = 71,921.89

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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.