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Finding the Fourth Proportional to 135,225.72, 186,649.11 and 78,648.03

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Solution

The fourth proportional to 135,225.72, 186,649.11 and 78,648.03 is: 108,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,225.72 : 186,649.11 = 78,648.03 : x
  2. Step 2: Convert to fraction form
    135,225.72/186,649.11 = 78,648.03/x
  3. Step 3: Cross multiply
    135,225.72x = 186,649.11 × 78,648.03
  4. Step 4: Simplify right side
    135,225.72x = 14,679,584,802.75
  5. Step 5: Solve for x
    x = 14,679,584,802.75/135,225.72
  6. Step 6: Final answer
    x = 108,556.16

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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.