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Finding the Fourth Proportional to 210,302.82, 315,191.70 and 105,151.86

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Solution

The fourth proportional to 210,302.82, 315,191.70 and 105,151.86 is: 157,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,302.82 : 315,191.70 = 105,151.86 : x
  2. Step 2: Convert to fraction form
    210,302.82/315,191.70 = 105,151.86/x
  3. Step 3: Cross multiply
    210,302.82x = 315,191.70 × 105,151.86
  4. Step 4: Simplify right side
    210,302.82x = 33,142,993,511.56
  5. Step 5: Solve for x
    x = 33,142,993,511.56/210,302.82
  6. Step 6: Final answer
    x = 157,596.52

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1.5x scale

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.