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Finding the Fourth Proportional to 197,140.92, 295,711.08 and 78,840

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Solution

The fourth proportional to 197,140.92, 295,711.08 and 78,840 is: 118,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,140.92 : 295,711.08 = 78,840 : x
  2. Step 2: Convert to fraction form
    197,140.92/295,711.08 = 78,840/x
  3. Step 3: Cross multiply
    197,140.92x = 295,711.08 × 78,840
  4. Step 4: Simplify right side
    197,140.92x = 23,313,861,547.20
  5. Step 5: Solve for x
    x = 23,313,861,547.20/197,140.92
  6. Step 6: Final answer
    x = 118,259.88

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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.