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Finding the Fourth Proportional to 188,353.90, 259,927.14 and 102,312.10

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Solution

The fourth proportional to 188,353.90, 259,927.14 and 102,312.10 is: 141,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,353.90 : 259,927.14 = 102,312.10 : x
  2. Step 2: Convert to fraction form
    188,353.90/259,927.14 = 102,312.10/x
  3. Step 3: Cross multiply
    188,353.90x = 259,927.14 × 102,312.10
  4. Step 4: Simplify right side
    188,353.90x = 26,593,690,890.58
  5. Step 5: Solve for x
    x = 26,593,690,890.58/188,353.90
  6. Step 6: Final answer
    x = 141,190.02

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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.