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Finding the Fourth Proportional to 55,302.36, 82,549.80 and 47,455.30

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Solution

The fourth proportional to 55,302.36, 82,549.80 and 47,455.30 is: 70,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.36 : 82,549.80 = 47,455.30 : x
  2. Step 2: Convert to fraction form
    55,302.36/82,549.80 = 47,455.30/x
  3. Step 3: Cross multiply
    55,302.36x = 82,549.80 × 47,455.30
  4. Step 4: Simplify right side
    55,302.36x = 3,917,425,523.94
  5. Step 5: Solve for x
    x = 3,917,425,523.94/55,302.36
  6. Step 6: Final answer
    x = 70,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.