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Finding the Fourth Proportional to 235,411.12, 353,005.68 and 85,546

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Solution

The fourth proportional to 235,411.12, 353,005.68 and 85,546 is: 128,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,411.12 : 353,005.68 = 85,546 : x
  2. Step 2: Convert to fraction form
    235,411.12/353,005.68 = 85,546/x
  3. Step 3: Cross multiply
    235,411.12x = 353,005.68 × 85,546
  4. Step 4: Simplify right side
    235,411.12x = 30,198,223,901.28
  5. Step 5: Solve for x
    x = 30,198,223,901.28/235,411.12
  6. Step 6: Final answer
    x = 128,278.66

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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.