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Finding the Fourth Proportional to 142,412.56, 213,661.66 and 42,576

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Solution

The fourth proportional to 142,412.56, 213,661.66 and 42,576 is: 63,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,412.56 : 213,661.66 = 42,576 : x
  2. Step 2: Convert to fraction form
    142,412.56/213,661.66 = 42,576/x
  3. Step 3: Cross multiply
    142,412.56x = 213,661.66 × 42,576
  4. Step 4: Simplify right side
    142,412.56x = 9,096,858,836.16
  5. Step 5: Solve for x
    x = 9,096,858,836.16/142,412.56
  6. Step 6: Final answer
    x = 63,876.80

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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.