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Finding the Fourth Proportional to 210,811.69, 315,710.85 and 120,580.86

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Solution

The fourth proportional to 210,811.69, 315,710.85 and 120,580.86 is: 180,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,811.69 : 315,710.85 = 120,580.86 : x
  2. Step 2: Convert to fraction form
    210,811.69/315,710.85 = 120,580.86/x
  3. Step 3: Cross multiply
    210,811.69x = 315,710.85 × 120,580.86
  4. Step 4: Simplify right side
    210,811.69x = 38,068,683,622.87
  5. Step 5: Solve for x
    x = 38,068,683,622.87/210,811.69
  6. Step 6: Final answer
    x = 180,581.46

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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.