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Finding the Fourth Proportional to 157,409.80, 236,114.70 and 141,080.20

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Solution

The fourth proportional to 157,409.80, 236,114.70 and 141,080.20 is: 211,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,409.80 : 236,114.70 = 141,080.20 : x
  2. Step 2: Convert to fraction form
    157,409.80/236,114.70 = 141,080.20/x
  3. Step 3: Cross multiply
    157,409.80x = 236,114.70 × 141,080.20
  4. Step 4: Simplify right side
    157,409.80x = 33,311,109,098.94
  5. Step 5: Solve for x
    x = 33,311,109,098.94/157,409.80
  6. Step 6: Final answer
    x = 211,620.30

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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.