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Finding the Fourth Proportional to 191,009.70, 285,931.35 and 149,019.30

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Solution

The fourth proportional to 191,009.70, 285,931.35 and 149,019.30 is: 223,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,009.70 : 285,931.35 = 149,019.30 : x
  2. Step 2: Convert to fraction form
    191,009.70/285,931.35 = 149,019.30/x
  3. Step 3: Cross multiply
    191,009.70x = 285,931.35 × 149,019.30
  4. Step 4: Simplify right side
    191,009.70x = 42,609,289,625.06
  5. Step 5: Solve for x
    x = 42,609,289,625.06/191,009.70
  6. Step 6: Final answer
    x = 223,073.96

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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.