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Finding the Fourth Proportional to 172,556.96, 258,617.34 and 77,686.11

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Solution

The fourth proportional to 172,556.96, 258,617.34 and 77,686.11 is: 116,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,556.96 : 258,617.34 = 77,686.11 : x
  2. Step 2: Convert to fraction form
    172,556.96/258,617.34 = 77,686.11/x
  3. Step 3: Cross multiply
    172,556.96x = 258,617.34 × 77,686.11
  4. Step 4: Simplify right side
    172,556.96x = 20,090,975,123.15
  5. Step 5: Solve for x
    x = 20,090,975,123.15/172,556.96
  6. Step 6: Final answer
    x = 116,430.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.