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Finding the Fourth Proportional to 100,193.65, 138,280.03 and 57,752.48

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Solution

The fourth proportional to 100,193.65, 138,280.03 and 57,752.48 is: 79,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193.65 : 138,280.03 = 57,752.48 : x
  2. Step 2: Convert to fraction form
    100,193.65/138,280.03 = 57,752.48/x
  3. Step 3: Cross multiply
    100,193.65x = 138,280.03 × 57,752.48
  4. Step 4: Simplify right side
    100,193.65x = 7,986,014,868.29
  5. Step 5: Solve for x
    x = 7,986,014,868.29/100,193.65
  6. Step 6: Final answer
    x = 79,705.80

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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.