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Finding the Fourth Proportional to 157,857.80, 236,441.10 and 140,347.40

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Solution

The fourth proportional to 157,857.80, 236,441.10 and 140,347.40 is: 210,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857.80 : 236,441.10 = 140,347.40 : x
  2. Step 2: Convert to fraction form
    157,857.80/236,441.10 = 140,347.40/x
  3. Step 3: Cross multiply
    157,857.80x = 236,441.10 × 140,347.40
  4. Step 4: Simplify right side
    157,857.80x = 33,183,893,638.14
  5. Step 5: Solve for x
    x = 33,183,893,638.14/157,857.80
  6. Step 6: Final answer
    x = 210,213.84

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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.