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Finding the Fourth Proportional to 255,087.58, 382,617.70 and 77,580.75

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Solution

The fourth proportional to 255,087.58, 382,617.70 and 77,580.75 is: 116,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,087.58 : 382,617.70 = 77,580.75 : x
  2. Step 2: Convert to fraction form
    255,087.58/382,617.70 = 77,580.75/x
  3. Step 3: Cross multiply
    255,087.58x = 382,617.70 × 77,580.75
  4. Step 4: Simplify right side
    255,087.58x = 29,683,767,974.17
  5. Step 5: Solve for x
    x = 29,683,767,974.17/255,087.58
  6. Step 6: Final answer
    x = 116,366.97

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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.