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Finding the Fourth Proportional to 289,385.10, 434,077.65 and 89,703.90

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Solution

The fourth proportional to 289,385.10, 434,077.65 and 89,703.90 is: 134,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,385.10 : 434,077.65 = 89,703.90 : x
  2. Step 2: Convert to fraction form
    289,385.10/434,077.65 = 89,703.90/x
  3. Step 3: Cross multiply
    289,385.10x = 434,077.65 × 89,703.90
  4. Step 4: Simplify right side
    289,385.10x = 38,938,458,107.84
  5. Step 5: Solve for x
    x = 38,938,458,107.84/289,385.10
  6. Step 6: Final answer
    x = 134,555.85

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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.