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Finding the Fourth Proportional to 191,011.70, 285,934.35 and 149,021.30

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Solution

The fourth proportional to 191,011.70, 285,934.35 and 149,021.30 is: 223,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,011.70 : 285,934.35 = 149,021.30 : x
  2. Step 2: Convert to fraction form
    191,011.70/285,934.35 = 149,021.30/x
  3. Step 3: Cross multiply
    191,011.70x = 285,934.35 × 149,021.30
  4. Step 4: Simplify right side
    191,011.70x = 42,610,308,551.66
  5. Step 5: Solve for x
    x = 42,610,308,551.66/191,011.70
  6. Step 6: Final answer
    x = 223,076.96

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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.