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Finding the Fourth Proportional to 114,859.72, 172,132.98 and 55,577.08

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Solution

The fourth proportional to 114,859.72, 172,132.98 and 55,577.08 is: 83,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,859.72 : 172,132.98 = 55,577.08 : x
  2. Step 2: Convert to fraction form
    114,859.72/172,132.98 = 55,577.08/x
  3. Step 3: Cross multiply
    114,859.72x = 172,132.98 × 55,577.08
  4. Step 4: Simplify right side
    114,859.72x = 9,566,648,400.10
  5. Step 5: Solve for x
    x = 9,566,648,400.10/114,859.72
  6. Step 6: Final answer
    x = 83,289.85

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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.