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Finding the Fourth Proportional to 272,105.20, 407,817.60 and 139,038.40

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Solution

The fourth proportional to 272,105.20, 407,817.60 and 139,038.40 is: 208,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,105.20 : 407,817.60 = 139,038.40 : x
  2. Step 2: Convert to fraction form
    272,105.20/407,817.60 = 139,038.40/x
  3. Step 3: Cross multiply
    272,105.20x = 407,817.60 × 139,038.40
  4. Step 4: Simplify right side
    272,105.20x = 56,702,306,595.84
  5. Step 5: Solve for x
    x = 56,702,306,595.84/272,105.20
  6. Step 6: Final answer
    x = 208,383.77

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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.