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Finding the Fourth Proportional to 197,280, 272,253.12 and 107,861.76

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Solution

The fourth proportional to 197,280, 272,253.12 and 107,861.76 is: 148,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,280 : 272,253.12 = 107,861.76 : x
  2. Step 2: Convert to fraction form
    197,280/272,253.12 = 107,861.76/x
  3. Step 3: Cross multiply
    197,280x = 272,253.12 × 107,861.76
  4. Step 4: Simplify right side
    197,280x = 29,365,700,688.69
  5. Step 5: Solve for x
    x = 29,365,700,688.69/197,280
  6. Step 6: Final answer
    x = 148,852.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.