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Finding the Fourth Proportional to 255,179.02, 382,657.70 and 77,644.51

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Solution

The fourth proportional to 255,179.02, 382,657.70 and 77,644.51 is: 116,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,179.02 : 382,657.70 = 77,644.51 : x
  2. Step 2: Convert to fraction form
    255,179.02/382,657.70 = 77,644.51/x
  3. Step 3: Cross multiply
    255,179.02x = 382,657.70 × 77,644.51
  4. Step 4: Simplify right side
    255,179.02x = 29,711,269,614.23
  5. Step 5: Solve for x
    x = 29,711,269,614.23/255,179.02
  6. Step 6: Final answer
    x = 116,433.04

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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.