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Finding the Fourth Proportional to 229,866.42, 317,141.82 and 139,193.40

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Solution

The fourth proportional to 229,866.42, 317,141.82 and 139,193.40 is: 192,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,866.42 : 317,141.82 = 139,193.40 : x
  2. Step 2: Convert to fraction form
    229,866.42/317,141.82 = 139,193.40/x
  3. Step 3: Cross multiply
    229,866.42x = 317,141.82 × 139,193.40
  4. Step 4: Simplify right side
    229,866.42x = 44,144,048,207.99
  5. Step 5: Solve for x
    x = 44,144,048,207.99/229,866.42
  6. Step 6: Final answer
    x = 192,042.18

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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.