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Finding the Fourth Proportional to 48,471.48, 72,699 and 13,402.94

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Solution

The fourth proportional to 48,471.48, 72,699 and 13,402.94 is: 20,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.48 : 72,699 = 13,402.94 : x
  2. Step 2: Convert to fraction form
    48,471.48/72,699 = 13,402.94/x
  3. Step 3: Cross multiply
    48,471.48x = 72,699 × 13,402.94
  4. Step 4: Simplify right side
    48,471.48x = 974,379,971.57
  5. Step 5: Solve for x
    x = 974,379,971.57/48,471.48
  6. Step 6: Final answer
    x = 20,102.13

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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.