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Finding the Fourth Proportional to 191,017.70, 285,943.35 and 149,027.30

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Solution

The fourth proportional to 191,017.70, 285,943.35 and 149,027.30 is: 223,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,017.70 : 285,943.35 = 149,027.30 : x
  2. Step 2: Convert to fraction form
    191,017.70/285,943.35 = 149,027.30/x
  3. Step 3: Cross multiply
    191,017.70x = 285,943.35 × 149,027.30
  4. Step 4: Simplify right side
    191,017.70x = 42,613,365,403.46
  5. Step 5: Solve for x
    x = 42,613,365,403.46/191,017.70
  6. Step 6: Final answer
    x = 223,085.95

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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.