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Finding the Fourth Proportional to 48,213.66, 72,309.14 and 13,144.98

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Solution

The fourth proportional to 48,213.66, 72,309.14 and 13,144.98 is: 19,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,213.66 : 72,309.14 = 13,144.98 : x
  2. Step 2: Convert to fraction form
    48,213.66/72,309.14 = 13,144.98/x
  3. Step 3: Cross multiply
    48,213.66x = 72,309.14 × 13,144.98
  4. Step 4: Simplify right side
    48,213.66x = 950,502,199.12
  5. Step 5: Solve for x
    x = 950,502,199.12/48,213.66
  6. Step 6: Final answer
    x = 19,714.38

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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.