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Finding the Fourth Proportional to 105,297.84, 145,216.92 and 87,364.44

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Solution

The fourth proportional to 105,297.84, 145,216.92 and 87,364.44 is: 120,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,297.84 : 145,216.92 = 87,364.44 : x
  2. Step 2: Convert to fraction form
    105,297.84/145,216.92 = 87,364.44/x
  3. Step 3: Cross multiply
    105,297.84x = 145,216.92 × 87,364.44
  4. Step 4: Simplify right side
    105,297.84x = 12,686,794,894.32
  5. Step 5: Solve for x
    x = 12,686,794,894.32/105,297.84
  6. Step 6: Final answer
    x = 120,484.85

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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.