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Finding the Fourth Proportional to 105,702.72, 145,815.84 and 80,508.48

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Solution

The fourth proportional to 105,702.72, 145,815.84 and 80,508.48 is: 111,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702.72 : 145,815.84 = 80,508.48 : x
  2. Step 2: Convert to fraction form
    105,702.72/145,815.84 = 80,508.48/x
  3. Step 3: Cross multiply
    105,702.72x = 145,815.84 × 80,508.48
  4. Step 4: Simplify right side
    105,702.72x = 11,739,411,638.32
  5. Step 5: Solve for x
    x = 11,739,411,638.32/105,702.72
  6. Step 6: Final answer
    x = 111,060.64

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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.