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Finding the Fourth Proportional to 102,714, 154,070.95 and 38,684.21

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Solution

The fourth proportional to 102,714, 154,070.95 and 38,684.21 is: 58,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714 : 154,070.95 = 38,684.21 : x
  2. Step 2: Convert to fraction form
    102,714/154,070.95 = 38,684.21/x
  3. Step 3: Cross multiply
    102,714x = 154,070.95 × 38,684.21
  4. Step 4: Simplify right side
    102,714x = 5,960,112,984.70
  5. Step 5: Solve for x
    x = 5,960,112,984.70/102,714
  6. Step 6: Final answer
    x = 58,026.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.