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Finding the Fourth Proportional to 89,068.64, 122,634.96 and 75,612

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Solution

The fourth proportional to 89,068.64, 122,634.96 and 75,612 is: 104,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,068.64 : 122,634.96 = 75,612 : x
  2. Step 2: Convert to fraction form
    89,068.64/122,634.96 = 75,612/x
  3. Step 3: Cross multiply
    89,068.64x = 122,634.96 × 75,612
  4. Step 4: Simplify right side
    89,068.64x = 9,272,674,595.52
  5. Step 5: Solve for x
    x = 9,272,674,595.52/89,068.64
  6. Step 6: Final answer
    x = 104,107.06

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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.