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Finding the Fourth Proportional to 242,889.76, 335,178.34 and 140,909.96

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Solution

The fourth proportional to 242,889.76, 335,178.34 and 140,909.96 is: 194,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,889.76 : 335,178.34 = 140,909.96 : x
  2. Step 2: Convert to fraction form
    242,889.76/335,178.34 = 140,909.96/x
  3. Step 3: Cross multiply
    242,889.76x = 335,178.34 × 140,909.96
  4. Step 4: Simplify right side
    242,889.76x = 47,229,966,482.27
  5. Step 5: Solve for x
    x = 47,229,966,482.27/242,889.76
  6. Step 6: Final answer
    x = 194,450.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.