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Finding the Fourth Proportional to 114,549.70, 172,029.35 and 83,420.10

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Solution

The fourth proportional to 114,549.70, 172,029.35 and 83,420.10 is: 125,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,549.70 : 172,029.35 = 83,420.10 : x
  2. Step 2: Convert to fraction form
    114,549.70/172,029.35 = 83,420.10/x
  3. Step 3: Cross multiply
    114,549.70x = 172,029.35 × 83,420.10
  4. Step 4: Simplify right side
    114,549.70x = 14,350,705,579.94
  5. Step 5: Solve for x
    x = 14,350,705,579.94/114,549.70
  6. Step 6: Final answer
    x = 125,279.29

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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.