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Finding the Fourth Proportional to 255,222.47, 382,722.72 and 77,687.88

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Solution

The fourth proportional to 255,222.47, 382,722.72 and 77,687.88 is: 116,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,222.47 : 382,722.72 = 77,687.88 : x
  2. Step 2: Convert to fraction form
    255,222.47/382,722.72 = 77,687.88/x
  3. Step 3: Cross multiply
    255,222.47x = 382,722.72 × 77,687.88
  4. Step 4: Simplify right side
    255,222.47x = 29,732,916,744.63
  5. Step 5: Solve for x
    x = 29,732,916,744.63/255,222.47
  6. Step 6: Final answer
    x = 116,498.04

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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.