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Finding the Fourth Proportional to 230,584.80, 318,158.64 and 139,988.46

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Solution

The fourth proportional to 230,584.80, 318,158.64 and 139,988.46 is: 193,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,584.80 : 318,158.64 = 139,988.46 : x
  2. Step 2: Convert to fraction form
    230,584.80/318,158.64 = 139,988.46/x
  3. Step 3: Cross multiply
    230,584.80x = 318,158.64 × 139,988.46
  4. Step 4: Simplify right side
    230,584.80x = 44,538,538,049.29
  5. Step 5: Solve for x
    x = 44,538,538,049.29/230,584.80
  6. Step 6: Final answer
    x = 193,154.70

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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.