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Finding the Fourth Proportional to 75,683.84, 104,438.31 and 45,055.31

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Solution

The fourth proportional to 75,683.84, 104,438.31 and 45,055.31 is: 62,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683.84 : 104,438.31 = 45,055.31 : x
  2. Step 2: Convert to fraction form
    75,683.84/104,438.31 = 45,055.31/x
  3. Step 3: Cross multiply
    75,683.84x = 104,438.31 × 45,055.31
  4. Step 4: Simplify right side
    75,683.84x = 4,705,500,432.93
  5. Step 5: Solve for x
    x = 4,705,500,432.93/75,683.84
  6. Step 6: Final answer
    x = 62,173.12

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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.