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Finding the Fourth Proportional to 253,915.92, 380,875.23 and 76,421.70

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Solution

The fourth proportional to 253,915.92, 380,875.23 and 76,421.70 is: 114,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,915.92 : 380,875.23 = 76,421.70 : x
  2. Step 2: Convert to fraction form
    253,915.92/380,875.23 = 76,421.70/x
  3. Step 3: Cross multiply
    253,915.92x = 380,875.23 × 76,421.70
  4. Step 4: Simplify right side
    253,915.92x = 29,107,132,564.49
  5. Step 5: Solve for x
    x = 29,107,132,564.49/253,915.92
  6. Step 6: Final answer
    x = 114,632.96

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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.