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Finding the Fourth Proportional to 52,638.40, 78,842.40 and 45,726.40

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Solution

The fourth proportional to 52,638.40, 78,842.40 and 45,726.40 is: 68,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638.40 : 78,842.40 = 45,726.40 : x
  2. Step 2: Convert to fraction form
    52,638.40/78,842.40 = 45,726.40/x
  3. Step 3: Cross multiply
    52,638.40x = 78,842.40 × 45,726.40
  4. Step 4: Simplify right side
    52,638.40x = 3,605,179,119.36
  5. Step 5: Solve for x
    x = 3,605,179,119.36/52,638.40
  6. Step 6: Final answer
    x = 68,489.53

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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.