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Finding the Fourth Proportional to 230,584.30, 318,157.95 and 139,987.96

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Solution

The fourth proportional to 230,584.30, 318,157.95 and 139,987.96 is: 193,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,584.30 : 318,157.95 = 139,987.96 : x
  2. Step 2: Convert to fraction form
    230,584.30/318,157.95 = 139,987.96/x
  3. Step 3: Cross multiply
    230,584.30x = 318,157.95 × 139,987.96
  4. Step 4: Simplify right side
    230,584.30x = 44,538,282,378.28
  5. Step 5: Solve for x
    x = 44,538,282,378.28/230,584.30
  6. Step 6: Final answer
    x = 193,154.01

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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.