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Finding the Fourth Proportional to 210,700.53, 315,242.13 and 120,786.36

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Solution

The fourth proportional to 210,700.53, 315,242.13 and 120,786.36 is: 180,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,700.53 : 315,242.13 = 120,786.36 : x
  2. Step 2: Convert to fraction form
    210,700.53/315,242.13 = 120,786.36/x
  3. Step 3: Cross multiply
    210,700.53x = 315,242.13 × 120,786.36
  4. Step 4: Simplify right side
    210,700.53x = 38,076,949,401.35
  5. Step 5: Solve for x
    x = 38,076,949,401.35/210,700.53
  6. Step 6: Final answer
    x = 180,715.96

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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.