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Finding the Fourth Proportional to 48,051.35, 72,076.86 and 12,991

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Solution

The fourth proportional to 48,051.35, 72,076.86 and 12,991 is: 19,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,051.35 : 72,076.86 = 12,991 : x
  2. Step 2: Convert to fraction form
    48,051.35/72,076.86 = 12,991/x
  3. Step 3: Cross multiply
    48,051.35x = 72,076.86 × 12,991
  4. Step 4: Simplify right side
    48,051.35x = 936,350,423.31
  5. Step 5: Solve for x
    x = 936,350,423.31/48,051.35
  6. Step 6: Final answer
    x = 19,486.45

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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.