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Finding the Fourth Proportional to 48,672, 73,011.60 and 20,970

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Solution

The fourth proportional to 48,672, 73,011.60 and 20,970 is: 31,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672 : 73,011.60 = 20,970 : x
  2. Step 2: Convert to fraction form
    48,672/73,011.60 = 20,970/x
  3. Step 3: Cross multiply
    48,672x = 73,011.60 × 20,970
  4. Step 4: Simplify right side
    48,672x = 1,531,053,252.00
  5. Step 5: Solve for x
    x = 1,531,053,252.00/48,672
  6. Step 6: Final answer
    x = 31,456.55

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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.