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Finding the Fourth Proportional to 207,295.92, 310,984.11 and 80,931.06

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Solution

The fourth proportional to 207,295.92, 310,984.11 and 80,931.06 is: 121,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,295.92 : 310,984.11 = 80,931.06 : x
  2. Step 2: Convert to fraction form
    207,295.92/310,984.11 = 80,931.06/x
  3. Step 3: Cross multiply
    207,295.92x = 310,984.11 × 80,931.06
  4. Step 4: Simplify right side
    207,295.92x = 25,168,273,665.46
  5. Step 5: Solve for x
    x = 25,168,273,665.46/207,295.92
  6. Step 6: Final answer
    x = 121,412.30

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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.