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Finding the Fourth Proportional to 255,111.45, 382,722.53 and 77,613.84

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Solution

The fourth proportional to 255,111.45, 382,722.53 and 77,613.84 is: 116,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,111.45 : 382,722.53 = 77,613.84 : x
  2. Step 2: Convert to fraction form
    255,111.45/382,722.53 = 77,613.84/x
  3. Step 3: Cross multiply
    255,111.45x = 382,722.53 × 77,613.84
  4. Step 4: Simplify right side
    255,111.45x = 29,704,564,819.75
  5. Step 5: Solve for x
    x = 29,704,564,819.75/255,111.45
  6. Step 6: Final answer
    x = 116,437.60

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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.