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Finding the Fourth Proportional to 230,878.50, 318,665.37 and 135,415.95

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Solution

The fourth proportional to 230,878.50, 318,665.37 and 135,415.95 is: 186,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,878.50 : 318,665.37 = 135,415.95 : x
  2. Step 2: Convert to fraction form
    230,878.50/318,665.37 = 135,415.95/x
  3. Step 3: Cross multiply
    230,878.50x = 318,665.37 × 135,415.95
  4. Step 4: Simplify right side
    230,878.50x = 43,152,373,810.65
  5. Step 5: Solve for x
    x = 43,152,373,810.65/230,878.50
  6. Step 6: Final answer
    x = 186,905.12

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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.