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Finding the Fourth Proportional to 188,354.90, 259,928.52 and 102,313.10

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Solution

The fourth proportional to 188,354.90, 259,928.52 and 102,313.10 is: 141,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,354.90 : 259,928.52 = 102,313.10 : x
  2. Step 2: Convert to fraction form
    188,354.90/259,928.52 = 102,313.10/x
  3. Step 3: Cross multiply
    188,354.90x = 259,928.52 × 102,313.10
  4. Step 4: Simplify right side
    188,354.90x = 26,594,092,659.61
  5. Step 5: Solve for x
    x = 26,594,092,659.61/188,354.90
  6. Step 6: Final answer
    x = 141,191.40

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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.