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Finding the Fourth Proportional to 45,782.94, 68,618.94 and 19,432.34

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Solution

The fourth proportional to 45,782.94, 68,618.94 and 19,432.34 is: 29,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.94 : 68,618.94 = 19,432.34 : x
  2. Step 2: Convert to fraction form
    45,782.94/68,618.94 = 19,432.34/x
  3. Step 3: Cross multiply
    45,782.94x = 68,618.94 × 19,432.34
  4. Step 4: Simplify right side
    45,782.94x = 1,333,426,572.52
  5. Step 5: Solve for x
    x = 1,333,426,572.52/45,782.94
  6. Step 6: Final answer
    x = 29,124.97

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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.