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Finding the Fourth Proportional to 75,702.29, 113,653.87 and 64,679.81

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Solution

The fourth proportional to 75,702.29, 113,653.87 and 64,679.81 is: 97,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,702.29 : 113,653.87 = 64,679.81 : x
  2. Step 2: Convert to fraction form
    75,702.29/113,653.87 = 64,679.81/x
  3. Step 3: Cross multiply
    75,702.29x = 113,653.87 × 64,679.81
  4. Step 4: Simplify right side
    75,702.29x = 7,351,109,987.40
  5. Step 5: Solve for x
    x = 7,351,109,987.40/75,702.29
  6. Step 6: Final answer
    x = 97,105.52

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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.