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Finding the Fourth Proportional to 102,692, 141,714.96 and 55,588

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Solution

The fourth proportional to 102,692, 141,714.96 and 55,588 is: 76,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692 : 141,714.96 = 55,588 : x
  2. Step 2: Convert to fraction form
    102,692/141,714.96 = 55,588/x
  3. Step 3: Cross multiply
    102,692x = 141,714.96 × 55,588
  4. Step 4: Simplify right side
    102,692x = 7,877,651,196.48
  5. Step 5: Solve for x
    x = 7,877,651,196.48/102,692
  6. Step 6: Final answer
    x = 76,711.44

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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.