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Finding the Fourth Proportional to 75,109.81, 103,659.78 and 47,886.87

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Solution

The fourth proportional to 75,109.81, 103,659.78 and 47,886.87 is: 66,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109.81 : 103,659.78 = 47,886.87 : x
  2. Step 2: Convert to fraction form
    75,109.81/103,659.78 = 47,886.87/x
  3. Step 3: Cross multiply
    75,109.81x = 103,659.78 × 47,886.87
  4. Step 4: Simplify right side
    75,109.81x = 4,963,942,281.80
  5. Step 5: Solve for x
    x = 4,963,942,281.80/75,109.81
  6. Step 6: Final answer
    x = 66,089.14

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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.