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Finding the Fourth Proportional to 75,178.54, 103,510.29 and 63,824.41

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Solution

The fourth proportional to 75,178.54, 103,510.29 and 63,824.41 is: 87,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.54 : 103,510.29 = 63,824.41 : x
  2. Step 2: Convert to fraction form
    75,178.54/103,510.29 = 63,824.41/x
  3. Step 3: Cross multiply
    75,178.54x = 103,510.29 × 63,824.41
  4. Step 4: Simplify right side
    75,178.54x = 6,606,483,188.18
  5. Step 5: Solve for x
    x = 6,606,483,188.18/75,178.54
  6. Step 6: Final answer
    x = 87,877.25

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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.