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Finding the Fourth Proportional to 65,135.20, 97,718.20 and 51,858.40

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Solution

The fourth proportional to 65,135.20, 97,718.20 and 51,858.40 is: 77,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.20 : 97,718.20 = 51,858.40 : x
  2. Step 2: Convert to fraction form
    65,135.20/97,718.20 = 51,858.40/x
  3. Step 3: Cross multiply
    65,135.20x = 97,718.20 × 51,858.40
  4. Step 4: Simplify right side
    65,135.20x = 5,067,509,502.88
  5. Step 5: Solve for x
    x = 5,067,509,502.88/65,135.20
  6. Step 6: Final answer
    x = 77,799.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.