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Finding the Fourth Proportional to 77,322.25, 106,702.90 and 45,493.21

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Solution

The fourth proportional to 77,322.25, 106,702.90 and 45,493.21 is: 62,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,322.25 : 106,702.90 = 45,493.21 : x
  2. Step 2: Convert to fraction form
    77,322.25/106,702.90 = 45,493.21/x
  3. Step 3: Cross multiply
    77,322.25x = 106,702.90 × 45,493.21
  4. Step 4: Simplify right side
    77,322.25x = 4,854,257,437.31
  5. Step 5: Solve for x
    x = 4,854,257,437.31/77,322.25
  6. Step 6: Final answer
    x = 62,779.57

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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.