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Finding the Fourth Proportional to 45,781, 63,178.76 and 25,909

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Solution

The fourth proportional to 45,781, 63,178.76 and 25,909 is: 35,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,781 : 63,178.76 = 25,909 : x
  2. Step 2: Convert to fraction form
    45,781/63,178.76 = 25,909/x
  3. Step 3: Cross multiply
    45,781x = 63,178.76 × 25,909
  4. Step 4: Simplify right side
    45,781x = 1,636,898,492.84
  5. Step 5: Solve for x
    x = 1,636,898,492.84/45,781
  6. Step 6: Final answer
    x = 35,754.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.