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Finding the Fourth Proportional to 230,985.73, 318,751.32 and 144,991.09

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Solution

The fourth proportional to 230,985.73, 318,751.32 and 144,991.09 is: 200,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,985.73 : 318,751.32 = 144,991.09 : x
  2. Step 2: Convert to fraction form
    230,985.73/318,751.32 = 144,991.09/x
  3. Step 3: Cross multiply
    230,985.73x = 318,751.32 × 144,991.09
  4. Step 4: Simplify right side
    230,985.73x = 46,216,101,325.74
  5. Step 5: Solve for x
    x = 46,216,101,325.74/230,985.73
  6. Step 6: Final answer
    x = 200,082.06

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1.5x scale

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.