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Finding the Fourth Proportional to 255,110.84, 382,721.62 and 77,613.24

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Solution

The fourth proportional to 255,110.84, 382,721.62 and 77,613.24 is: 116,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,110.84 : 382,721.62 = 77,613.24 : x
  2. Step 2: Convert to fraction form
    255,110.84/382,721.62 = 77,613.24/x
  3. Step 3: Cross multiply
    255,110.84x = 382,721.62 × 77,613.24
  4. Step 4: Simplify right side
    255,110.84x = 29,704,263,317.01
  5. Step 5: Solve for x
    x = 29,704,263,317.01/255,110.84
  6. Step 6: Final answer
    x = 116,436.70

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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.