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Finding the Fourth Proportional to 102,026.42, 140,702.30 and 63,773.78

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Solution

The fourth proportional to 102,026.42, 140,702.30 and 63,773.78 is: 87,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026.42 : 140,702.30 = 63,773.78 : x
  2. Step 2: Convert to fraction form
    102,026.42/140,702.30 = 63,773.78/x
  3. Step 3: Cross multiply
    102,026.42x = 140,702.30 × 63,773.78
  4. Step 4: Simplify right side
    102,026.42x = 8,973,117,525.69
  5. Step 5: Solve for x
    x = 8,973,117,525.69/102,026.42
  6. Step 6: Final answer
    x = 87,948.96

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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.