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Finding the Fourth Proportional to 52,456.20, 78,492.30 and 38,632.20

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Solution

The fourth proportional to 52,456.20, 78,492.30 and 38,632.20 is: 57,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,456.20 : 78,492.30 = 38,632.20 : x
  2. Step 2: Convert to fraction form
    52,456.20/78,492.30 = 38,632.20/x
  3. Step 3: Cross multiply
    52,456.20x = 78,492.30 × 38,632.20
  4. Step 4: Simplify right side
    52,456.20x = 3,032,330,232.06
  5. Step 5: Solve for x
    x = 3,032,330,232.06/52,456.20
  6. Step 6: Final answer
    x = 57,806.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.