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Finding the Fourth Proportional to 285,156.45, 427,712.40 and 74,788.92

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Solution

The fourth proportional to 285,156.45, 427,712.40 and 74,788.92 is: 112,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,156.45 : 427,712.40 = 74,788.92 : x
  2. Step 2: Convert to fraction form
    285,156.45/427,712.40 = 74,788.92/x
  3. Step 3: Cross multiply
    285,156.45x = 427,712.40 × 74,788.92
  4. Step 4: Simplify right side
    285,156.45x = 31,988,148,466.61
  5. Step 5: Solve for x
    x = 31,988,148,466.61/285,156.45
  6. Step 6: Final answer
    x = 112,177.54

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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.