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Finding the Fourth Proportional to 272,102.20, 407,813.10 and 139,035.40

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Solution

The fourth proportional to 272,102.20, 407,813.10 and 139,035.40 is: 208,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,102.20 : 407,813.10 = 139,035.40 : x
  2. Step 2: Convert to fraction form
    272,102.20/407,813.10 = 139,035.40/x
  3. Step 3: Cross multiply
    272,102.20x = 407,813.10 × 139,035.40
  4. Step 4: Simplify right side
    272,102.20x = 56,700,457,483.74
  5. Step 5: Solve for x
    x = 56,700,457,483.74/272,102.20
  6. Step 6: Final answer
    x = 208,379.27

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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.