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Finding the Fourth Proportional to 81,702.24, 112,746.24 and 49,924.32

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Solution

The fourth proportional to 81,702.24, 112,746.24 and 49,924.32 is: 68,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.24 : 112,746.24 = 49,924.32 : x
  2. Step 2: Convert to fraction form
    81,702.24/112,746.24 = 49,924.32/x
  3. Step 3: Cross multiply
    81,702.24x = 112,746.24 × 49,924.32
  4. Step 4: Simplify right side
    81,702.24x = 5,628,779,364.56
  5. Step 5: Solve for x
    x = 5,628,779,364.56/81,702.24
  6. Step 6: Final answer
    x = 68,893.82

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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.