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Finding the Fourth Proportional to 74,871.84, 112,278.24 and 28,099.20

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Solution

The fourth proportional to 74,871.84, 112,278.24 and 28,099.20 is: 42,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871.84 : 112,278.24 = 28,099.20 : x
  2. Step 2: Convert to fraction form
    74,871.84/112,278.24 = 28,099.20/x
  3. Step 3: Cross multiply
    74,871.84x = 112,278.24 × 28,099.20
  4. Step 4: Simplify right side
    74,871.84x = 3,154,928,721.41
  5. Step 5: Solve for x
    x = 3,154,928,721.41/74,871.84
  6. Step 6: Final answer
    x = 42,137.72

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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.