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Finding the Fourth Proportional to 48,205.98, 72,301.68 and 13,148.40

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Solution

The fourth proportional to 48,205.98, 72,301.68 and 13,148.40 is: 19,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.98 : 72,301.68 = 13,148.40 : x
  2. Step 2: Convert to fraction form
    48,205.98/72,301.68 = 13,148.40/x
  3. Step 3: Cross multiply
    48,205.98x = 72,301.68 × 13,148.40
  4. Step 4: Simplify right side
    48,205.98x = 950,651,409.31
  5. Step 5: Solve for x
    x = 950,651,409.31/48,205.98
  6. Step 6: Final answer
    x = 19,720.61

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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.