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Finding the Fourth Proportional to 207,168.64, 310,766.11 and 65,019.53

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Solution

The fourth proportional to 207,168.64, 310,766.11 and 65,019.53 is: 97,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,168.64 : 310,766.11 = 65,019.53 : x
  2. Step 2: Convert to fraction form
    207,168.64/310,766.11 = 65,019.53/x
  3. Step 3: Cross multiply
    207,168.64x = 310,766.11 × 65,019.53
  4. Step 4: Simplify right side
    207,168.64x = 20,205,867,026.49
  5. Step 5: Solve for x
    x = 20,205,867,026.49/207,168.64
  6. Step 6: Final answer
    x = 97,533.43

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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.