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Finding the Fourth Proportional to 66,047.13, 91,159.83 and 51,678.54

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Solution

The fourth proportional to 66,047.13, 91,159.83 and 51,678.54 is: 71,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,047.13 : 91,159.83 = 51,678.54 : x
  2. Step 2: Convert to fraction form
    66,047.13/91,159.83 = 51,678.54/x
  3. Step 3: Cross multiply
    66,047.13x = 91,159.83 × 51,678.54
  4. Step 4: Simplify right side
    66,047.13x = 4,711,006,921.05
  5. Step 5: Solve for x
    x = 4,711,006,921.05/66,047.13
  6. Step 6: Final answer
    x = 71,327.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.