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Finding the Fourth Proportional to 255,107.40, 382,223.70 and 166,315.20

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Solution

The fourth proportional to 255,107.40, 382,223.70 and 166,315.20 is: 249,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,107.40 : 382,223.70 = 166,315.20 : x
  2. Step 2: Convert to fraction form
    255,107.40/382,223.70 = 166,315.20/x
  3. Step 3: Cross multiply
    255,107.40x = 382,223.70 × 166,315.20
  4. Step 4: Simplify right side
    255,107.40x = 63,569,611,110.24
  5. Step 5: Solve for x
    x = 63,569,611,110.24/255,107.40
  6. Step 6: Final answer
    x = 249,187.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.