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Finding the Fourth Proportional to 285,089.84, 427,601.88 and 74,744.48

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Solution

The fourth proportional to 285,089.84, 427,601.88 and 74,744.48 is: 112,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,089.84 : 427,601.88 = 74,744.48 : x
  2. Step 2: Convert to fraction form
    285,089.84/427,601.88 = 74,744.48/x
  3. Step 3: Cross multiply
    285,089.84x = 427,601.88 × 74,744.48
  4. Step 4: Simplify right side
    285,089.84x = 31,960,880,167.62
  5. Step 5: Solve for x
    x = 31,960,880,167.62/285,089.84
  6. Step 6: Final answer
    x = 112,108.10

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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.