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Finding the Fourth Proportional to 55,534.56, 76,637.04 and 30,384

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Solution

The fourth proportional to 55,534.56, 76,637.04 and 30,384 is: 41,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534.56 : 76,637.04 = 30,384 : x
  2. Step 2: Convert to fraction form
    55,534.56/76,637.04 = 30,384/x
  3. Step 3: Cross multiply
    55,534.56x = 76,637.04 × 30,384
  4. Step 4: Simplify right side
    55,534.56x = 2,328,539,823.36
  5. Step 5: Solve for x
    x = 2,328,539,823.36/55,534.56
  6. Step 6: Final answer
    x = 41,929.56

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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.