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Finding the Fourth Proportional to 255,406.74, 383,170.14 and 77,913.78

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Solution

The fourth proportional to 255,406.74, 383,170.14 and 77,913.78 is: 116,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,406.74 : 383,170.14 = 77,913.78 : x
  2. Step 2: Convert to fraction form
    255,406.74/383,170.14 = 77,913.78/x
  3. Step 3: Cross multiply
    255,406.74x = 383,170.14 × 77,913.78
  4. Step 4: Simplify right side
    255,406.74x = 29,854,233,990.53
  5. Step 5: Solve for x
    x = 29,854,233,990.53/255,406.74
  6. Step 6: Final answer
    x = 116,888.98

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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.