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Finding the Fourth Proportional to 210,415.68, 315,614.88 and 116,861.76

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Solution

The fourth proportional to 210,415.68, 315,614.88 and 116,861.76 is: 175,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,415.68 : 315,614.88 = 116,861.76 : x
  2. Step 2: Convert to fraction form
    210,415.68/315,614.88 = 116,861.76/x
  3. Step 3: Cross multiply
    210,415.68x = 315,614.88 × 116,861.76
  4. Step 4: Simplify right side
    210,415.68x = 36,883,310,358.99
  5. Step 5: Solve for x
    x = 36,883,310,358.99/210,415.68
  6. Step 6: Final answer
    x = 175,287.84

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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.