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Finding the Fourth Proportional to 255,220.56, 382,719.89 and 77,685.98

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Solution

The fourth proportional to 255,220.56, 382,719.89 and 77,685.98 is: 116,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220.56 : 382,719.89 = 77,685.98 : x
  2. Step 2: Convert to fraction form
    255,220.56/382,719.89 = 77,685.98/x
  3. Step 3: Cross multiply
    255,220.56x = 382,719.89 × 77,685.98
  4. Step 4: Simplify right side
    255,220.56x = 29,731,967,418.11
  5. Step 5: Solve for x
    x = 29,731,967,418.11/255,220.56
  6. Step 6: Final answer
    x = 116,495.19

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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.