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Finding the Fourth Proportional to 105,289.84, 145,205.92 and 87,356.44

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Solution

The fourth proportional to 105,289.84, 145,205.92 and 87,356.44 is: 120,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,289.84 : 145,205.92 = 87,356.44 : x
  2. Step 2: Convert to fraction form
    105,289.84/145,205.92 = 87,356.44/x
  3. Step 3: Cross multiply
    105,289.84x = 145,205.92 × 87,356.44
  4. Step 4: Simplify right side
    105,289.84x = 12,684,672,238.12
  5. Step 5: Solve for x
    x = 12,684,672,238.12/105,289.84
  6. Step 6: Final answer
    x = 120,473.85

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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.