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Finding the Fourth Proportional to 71,009.04, 106,507.08 and 65,440.56

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Solution

The fourth proportional to 71,009.04, 106,507.08 and 65,440.56 is: 98,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009.04 : 106,507.08 = 65,440.56 : x
  2. Step 2: Convert to fraction form
    71,009.04/106,507.08 = 65,440.56/x
  3. Step 3: Cross multiply
    71,009.04x = 106,507.08 × 65,440.56
  4. Step 4: Simplify right side
    71,009.04x = 6,969,882,959.16
  5. Step 5: Solve for x
    x = 6,969,882,959.16/71,009.04
  6. Step 6: Final answer
    x = 98,154.87

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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.