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Finding the Fourth Proportional to 68,314.24, 102,484.80 and 28,871.20

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Solution

The fourth proportional to 68,314.24, 102,484.80 and 28,871.20 is: 43,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.24 : 102,484.80 = 28,871.20 : x
  2. Step 2: Convert to fraction form
    68,314.24/102,484.80 = 28,871.20/x
  3. Step 3: Cross multiply
    68,314.24x = 102,484.80 × 28,871.20
  4. Step 4: Simplify right side
    68,314.24x = 2,958,859,157.76
  5. Step 5: Solve for x
    x = 2,958,859,157.76/68,314.24
  6. Step 6: Final answer
    x = 43,312.48

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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.