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Finding the Fourth Proportional to 229,864.92, 317,139.75 and 139,191.90

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Solution

The fourth proportional to 229,864.92, 317,139.75 and 139,191.90 is: 192,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,864.92 : 317,139.75 = 139,191.90 : x
  2. Step 2: Convert to fraction form
    229,864.92/317,139.75 = 139,191.90/x
  3. Step 3: Cross multiply
    229,864.92x = 317,139.75 × 139,191.90
  4. Step 4: Simplify right side
    229,864.92x = 44,143,284,368.03
  5. Step 5: Solve for x
    x = 44,143,284,368.03/229,864.92
  6. Step 6: Final answer
    x = 192,040.11

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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.